Parcial final series de tiempo#
Jeffry Jerena y David Lizcano#
import pandas as pd
import matplotlib.pyplot as plt
import seaborn as sns
from tabulate import tabulate
Sección 1: Carga, preprocesamiento de datos y Análisis Descriptivo#
# Ruta del archivo CSV
BHdata = "C:\\Users\\Maestriadatos\\Documents\\lizcanollerenaparcial\\docs\\bitcoinhistoricaldata.csv"
# Cargar los datos
df = pd.read_csv(BHdata)
# Mostrar los primeros 5 registros para visualizar los datos
print("Primeros 5 registros:")
print(df.head())
# Mostrar la información de los tipos de datos
print("\nTipos de datos por columna:")
print(df.dtypes)
Primeros 5 registros:
Date Price Open High Low Vol. Change %
0 03/24/2024 67,211.9 64,036.5 67,587.8 63,812.9 65.59K 4.96%
1 03/23/2024 64,037.8 63,785.6 65,972.4 63,074.9 35.11K 0.40%
2 03/22/2024 63,785.5 65,501.5 66,633.3 62,328.3 72.43K -2.62%
3 03/21/2024 65,503.8 67,860.0 68,161.7 64,616.1 75.26K -3.46%
4 03/20/2024 67,854.0 62,046.8 68,029.5 60,850.9 133.53K 9.35%
Tipos de datos por columna:
Date object
Price object
Open object
High object
Low object
Vol. object
Change % object
dtype: object
# Convertir la columna 'Date' a tipo datetime
df['Date'] = pd.to_datetime(df['Date'], format='%m/%d/%Y')
# Convertir la columna 'Price', 'Open', 'High', 'Low' eliminando comas y convirtiendo a float
df['Price'] = df['Price'].str.replace(',', '').astype(float)
df['Open'] = df['Open'].str.replace(',', '').astype(float)
df['High'] = df['High'].str.replace(',', '').astype(float)
df['Low'] = df['Low'].str.replace(',', '').astype(float)
# Convertir la columna 'Vol.' eliminando comas, reemplazando 'K' por 'e3' (miles) y 'M' por 'e6' (millones), luego convertir a numérico
df['Vol.'] = df['Vol.'].str.replace('K', 'e3').str.replace('M', 'e6').str.replace(',', '')
df['Vol.'] = pd.to_numeric(df['Vol.'], errors='coerce')
# Convertir la columna 'Change %' eliminando el símbolo '%' y convirtiendo a float
df['Change %'] = df['Change %'].str.replace('%', '').astype(float)
# Mostrar los primeros 5 registros después de la conversión
print("Datos después de la conversión a numérico:")
print(df.head())
# Mostrar los tipos de datos después de la conversión
print("\nTipos de datos después de la conversión:")
print(df.dtypes)
Datos después de la conversión a numérico:
Date Price Open High Low Vol. Change %
0 2024-03-24 67211.9 64036.5 67587.8 63812.9 65590.0 4.96
1 2024-03-23 64037.8 63785.6 65972.4 63074.9 35110.0 0.40
2 2024-03-22 63785.5 65501.5 66633.3 62328.3 72430.0 -2.62
3 2024-03-21 65503.8 67860.0 68161.7 64616.1 75260.0 -3.46
4 2024-03-20 67854.0 62046.8 68029.5 60850.9 133530.0 9.35
Tipos de datos después de la conversión:
Date datetime64[ns]
Price float64
Open float64
High float64
Low float64
Vol. float64
Change % float64
dtype: object
# Análisis descriptivo con formato estético incluyendo 'dtype'
def descriptive_analysis(df):
print("Análisis Descriptivo")
# Resumen estadístico con tipo de dato
summary = df.describe().T # Transponemos para mostrar variables como filas
# Añadir una columna con el tipo de dato (dtype)
summary['dtype'] = df.dtypes
print(tabulate(summary, headers="keys", tablefmt="pretty"))
# Ejecutar el análisis descriptivo con presentación mejorada y tipo de datos
descriptive_analysis(df)
Análisis Descriptivo
+----------+--------+---------------------+---------------------+---------------------+---------------------+---------------------+---------------------+--------------------+----------------+
| | count | mean | min | 25% | 50% | 75% | max | std | dtype |
+----------+--------+---------------------+---------------------+---------------------+---------------------+---------------------+---------------------+--------------------+----------------+
| Date | 4999 | 2017-05-21 00:00:00 | 2010-07-18 00:00:00 | 2013-12-18 12:00:00 | 2017-05-21 00:00:00 | 2020-10-21 12:00:00 | 2024-03-24 00:00:00 | nan | datetime64[ns] |
| Price | 4999.0 | 10812.283336667333 | 0.1 | 226.7 | 1975.1 | 15450.150000000001 | 73066.3 | 15892.032468245246 | float64 |
| Open | 4999.0 | 10798.901840368073 | 0.0 | 226.45 | 1962.0 | 15372.15 | 73066.7 | 15872.785452462605 | float64 |
| High | 4999.0 | 11067.453050610124 | 0.1 | 231.4 | 2048.4 | 15954.55 | 73740.9 | 16270.707593648698 | float64 |
| Low | 4999.0 | 10511.891198239648 | 0.0 | 221.95 | 1875.3 | 14557.2 | 71338.4 | 15444.928770647624 | float64 |
| Vol. | 4977.0 | 4520315.993570424 | 80.0 | 31710.0 | 68380.0 | 181810.0 | 752840000.0 | 44956402.24859013 | float64 |
| Change % | 4999.0 | 0.41575115023004605 | -57.21 | -1.17 | 0.0 | 1.7850000000000001 | 336.84 | 7.094771253715175 | float64 |
+----------+--------+---------------------+---------------------+---------------------+---------------------+---------------------+---------------------+--------------------+----------------+
Sección 2: Identificar si existen datos faltantes#
# Verificar si existen datos faltantes en el DataFrame
print("Datos faltantes por columna:")
print(df.isnull().sum())
Datos faltantes por columna:
Date 0
Price 0
Open 0
High 0
Low 0
Vol. 22
Change % 0
dtype: int64
Sección 3: Imputación de datos faltantes#
# Aplicar la técnica de imputación (forward fill) para rellenar los valores nulos
df.fillna(method='ffill', inplace=True)
# Verificar si se han rellenado los datos faltantes
print("Datos faltantes por columna después de la imputación:")
print(df.isnull().sum())
Datos faltantes por columna después de la imputación:
Date 0
Price 0
Open 0
High 0
Low 0
Vol. 0
Change % 0
dtype: int64
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11860\1401077761.py:2: FutureWarning: DataFrame.fillna with 'method' is deprecated and will raise in a future version. Use obj.ffill() or obj.bfill() instead.
df.fillna(method='ffill', inplace=True)
Sección 4: Gráfico de velas (Candlestick chart):#
Gráfico de velas: Visualiza el comportamiento de los precios (apertura, máximo, mínimo, cierre) a lo largo del tiempo.
import plotly.graph_objects as go
# Crear gráfico de velas (candlestick chart)
def plot_candlestick(df):
fig = go.Figure(data=[go.Candlestick(x=df['Date'],
open=df['Open'],
high=df['High'],
low=df['Low'],
close=df['Price'],
name='Candlestick')])
# Configuración del título y los ejes
fig.update_layout(
title='Gráfico de Velas del Precio de Bitcoin',
xaxis_title='Fecha',
yaxis_title='Precio (USD)',
xaxis_rangeslider_visible=False, # Ocultar el slider
template='plotly_white' # Estilo limpio
)
# Mostrar el gráfico
fig.show()
# Ejecutar el gráfico de velas
plot_candlestick(df)
Vemos una tendencia creciente en el precio del Bitcoin
Sección 5: Histograma del volumen:#
Histograma del volumen: Muestra la cantidad de volumen tradeado diariamente de forma clara e interactiva.
import plotly.express as px
# Crear el histograma del volumen tradeado diariamente
def plot_volume_histogram(df):
fig = px.histogram(df, x='Date', y='Vol.', nbins=50, title='Histograma del Volumen Tradeado Diariamente')
# Configuración del diseño del histograma
fig.update_layout(
xaxis_title='Fecha',
yaxis_title='Volumen Tradeado (USD)',
template='plotly_white', # Estilo limpio
bargap=0.1 # Ajustar el espacio entre barras
)
# Mostrar el gráfico
fig.show()
# Ejecutar el histograma del volumen
plot_volume_histogram(df)
El volumen de tradeo del Bitcoin fue significativamente mas grande en 2022 que el resto de anos, esto puede explicar su precio maximo en esta epoca
Sección 6: Gráficos de Subseries: Gráficos de Series de Tiempo#
Para crear gráficos de subseries agrupados por semana, mes y año, utilizando gráficos de series de tiempo y boxplots como se menciona en la imagen, puedes seguir los siguientes pasos:
Agrupación de datos por semana, mes y año: Primero, agruparemos los datos por semana, mes y año usando la columna Date para extraer las subseries. Luego, podemos generar gráficos de series temporales y boxplots.
Gráficos de series de tiempo: Estos gráficos mostrarán la evolución de los precios (o cualquier otra variable) a lo largo de las subseries (por semana, mes, año).
Boxplots: Los boxplots son útiles para comparar la distribución de los precios (o el volumen) dentro de los grupos definidos (semanal, mensual, anual).
Código paso a paso:
Paso 1: Agrupar por semana, mes y año
import pandas as pd
# Asegúrate de que 'Date' sea una columna de tipo datetime
df['Date'] = pd.to_datetime(df['Date'])
# Agregar columnas para semana, mes y año
df['Week'] = df['Date'].dt.isocalendar().week
df['Month'] = df['Date'].dt.month
df['Year'] = df['Date'].dt.year
Paso 2: Gráficos de series temporales por subseries
import plotly.express as px
# Gráfico de series de tiempo por semana
def plot_time_series_week(df):
fig = px.line(df, x='Date', y='Price', color='Week',
title='Precio de Bitcoin por Semana',
labels={'Price':'Precio (USD)', 'Date':'Fecha', 'Week':'Semana'})
fig.show()
# Ejecutar el gráfico de series de tiempo semanal
plot_time_series_week(df)
# Gráfico de series de tiempo por mes
def plot_time_series_month(df):
fig = px.line(df, x='Date', y='Price', color='Month',
title='Precio de Bitcoin por Mes',
labels={'Price':'Precio (USD)', 'Date':'Fecha', 'Month':'Mes'})
fig.show()
# Ejecutar el gráfico de series de tiempo mensual
plot_time_series_month(df)
# Gráfico de series de tiempo por año
def plot_time_series_year(df):
fig = px.line(df, x='Date', y='Price', color='Year',
title='Precio de Bitcoin por Año',
labels={'Price':'Precio (USD)', 'Date':'Fecha', 'Year':'Año'})
fig.show()
# Ejecutar el gráfico de series de tiempo anual
plot_time_series_year(df)
Analizando el grafico de la division anual, semanal y mensual solo podemos afirmar que el precio del bitcoin pese a ser un activo volatil, sigue una tendencia a traves de periodos anuales
Sección 7: Gráficos de Subseries: Boxplots para analizar las subseries#
# Boxplot de precios por semana
def plot_boxplot_week(df):
fig = px.box(df, x='Week', y='Price', title='Distribución del Precio de Bitcoin por Semana',
labels={'Price':'Precio (USD)', 'Week':'Semana'})
fig.show()
# Ejecutar el boxplot semanal
plot_boxplot_week(df)
# Boxplot de precios por mes
def plot_boxplot_month(df):
fig = px.box(df, x='Month', y='Price', title='Distribución del Precio de Bitcoin por Mes',
labels={'Price':'Precio (USD)', 'Month':'Mes'})
fig.show()
# Ejecutar el boxplot mensual
plot_boxplot_month(df)
# Boxplot de precios por año
def plot_boxplot_year(df):
fig = px.box(df, x='Year', y='Price', title='Distribución del Precio de Bitcoin por Año',
labels={'Price':'Precio (USD)', 'Year':'Año'})
fig.show()
# Ejecutar el boxplot anual
plot_boxplot_year(df)
Observamos que la distribucion en boxplot por mes, ano y semana nos dice que realmente a traves de los anos el precio del bitcoin ha cambiado bastante. Siendo estos ultimos anos relativamente alto pero en sus primeros anos relativamente bajo
Explicación de cada parte: Agrupación: Las columnas adicionales para semana, mes y año permiten segmentar las series de tiempo en diferentes subseries. Gráficos de series de tiempo: Estos gráficos permiten ver cómo evoluciona el precio de Bitcoin dentro de cada subserie (semana, mes o año). Boxplots: Los boxplots permiten analizar la dispersión y distribución de los precios en las diferentes subseries.
Sección 8: Estudio de Estacionalidad#
Para estudiar la estacionariedad de una serie de tiempo utilizando la función de autocorrelación (ACF), el test de Ljung-Box y el test de Dickey-Fuller, podemos seguir los siguientes pasos. También te mostraré cómo aplicar las transformaciones necesarias para convertir la serie en estacionaria si es necesario.
Paso 1: Verificar la estacionariedad con la ACF (Autocorrelation Function) La ACF nos ayuda a observar si existe correlación en los rezagos (lags) de la serie temporal.
Paso 2: Realizar los test estadísticos Test de Ljung-Box: Evalúa si los valores de autocorrelación en todos los rezagos son cercanos a cero, lo que indicaría que no hay correlación y, por lo tanto, la serie es estacionaria. Test de Dickey-Fuller aumentado: Evalúa la hipótesis nula de que una serie tiene una raíz unitaria, lo que implica que no es estacionaria. Paso 3: Transformar la serie de tiempo Si los resultados indican que la serie no es estacionaria, aplicaremos transformaciones como la diferenciación para convertir la serie en estacionaria.
Código paso a paso Importar las librerías necesarias:
import pandas as pd
import matplotlib.pyplot as plt
import seaborn as sns
from statsmodels.graphics.tsaplots import plot_acf
from statsmodels.tsa.stattools import adfuller, acf, q_stat
from statsmodels.stats.diagnostic import acorr_ljungbox
8.1 Gráfico de ACF para verificar autocorrelación
# Gráfico de autocorrelación (ACF) para la columna 'Price'
def plot_acf_chart(df):
plt.figure(figsize=(10, 6))
plot_acf(df['Price'], lags=40) # Mostrar los primeros 40 rezagos
plt.title('Función de Autocorrelación (ACF) del Precio de Bitcoin')
plt.show()
# Ejecutar el gráfico de ACF
plot_acf_chart(df)
<Figure size 1000x600 with 0 Axes>
En el gráfico que has generado, la Función de Autocorrelación (ACF) muestra una alta autocorrelación significativa en todos los rezagos (lags), lo cual es un indicador de que la serie no es estacionaria. En una serie estacionaria, las autocorrelaciones deberían disminuir rápidamente a medida que aumenta el número de rezagos, mientras que aquí todas las barras están cerca de 1, lo que indica una fuerte correlación a lo largo del tiempo.
Próximos pasos: Test de Dickey-Fuller: Este test confirmará si la serie tiene una raíz unitaria (no estacionaria). Transformación de la serie: Si la serie no es estacionaria, podemos aplicar la diferenciación para convertirla en estacionaria.
8.2 Test de Ljung-Box
# Test de Ljung-Box para verificar si la serie es autocorrelacionada
def ljung_box_test(df):
lb_test = acorr_ljungbox(df['Price'], lags=[10], return_df=True)
print("Resultados del Test de Ljung-Box:")
print(lb_test)
# Ejecutar el test de Ljung-Box
ljung_box_test(df)
Resultados del Test de Ljung-Box:
lb_stat lb_pvalue
10 48871.328172 0.0
Interpretación: Un valor p de 0.0 indica que rechazamos la hipótesis nula de que no hay autocorrelación en los rezagos. Esto significa que hay autocorrelación significativa en la serie temporal, lo que sugiere que no es estacionaria.
Interpretación: Un valor p de 0.0 indica que rechazamos la hipótesis nula de que no hay autocorrelación en los rezagos. Esto significa que hay autocorrelación significativa en la serie temporal, lo que sugiere que no es estacionaria.
# Test de Dickey-Fuller aumentado
def adfuller_test(df):
result = adfuller(df['Price'])
print('Resultados del Test de Dickey-Fuller:')
print(f'Estadístico ADF: {result[0]}')
print(f'Valor P: {result[1]}')
print(f'Valores Críticos:')
for key, value in result[4].items():
print(f' {key}: {value}')
# Ejecutar el test de Dickey-Fuller
adfuller_test(df)
Resultados del Test de Dickey-Fuller:
Estadístico ADF: -2.685797950257254
Valor P: 0.07652825121387355
Valores Críticos:
1%: -3.4316674956516784
5%: -2.8621221897344484
10%: -2.567079900452355
Interpretación: El valor p es 0.0756, que es mayor a 0.05, lo que significa que no podemos rechazar la hipótesis nula de que la serie tiene una raíz unitaria. Esto implica que la serie no es estacionaria.
Además, el estadístico ADF (-2.68) no es más pequeño que los valores críticos a los niveles del 1%, 5%, o incluso el 10%, lo que refuerza la conclusión de que la serie no es estacionaria.
Transformar la serie para hacerla estacionaria
from statsmodels.tsa.seasonal import seasonal_decompose
import matplotlib.pyplot as plt
# Asegurarse de que los datos están ordenados por fecha
df = df.sort_values(by='Date')
# Descomponer la serie en tendencia, estacionalidad y residuo
decomposed = seasonal_decompose(df['Price'], model='multiplicative', period=30) # Ajustar 'period' según el ciclo
# Graficar los componentes
decomposed.plot()
plt.show()
from statsmodels.graphics.tsaplots import plot_acf
from statsmodels.tsa.stattools import adfuller
# Graficar la ACF de los residuos
plot_acf(decomposed.resid.dropna(), lags=40)
plt.title('ACF de los Residuos')
plt.show()
# Aplicar el Test de Dickey-Fuller en los residuos
result_adf = adfuller(decomposed.resid.dropna())
print(f'Estadístico ADF: {result_adf[0]}')
print(f'Valor P: {result_adf[1]}')
print(f'Valores Críticos: {result_adf[4]}')
Estadístico ADF: -15.674313207396887
Valor P: 1.499403070029146e-28
Valores Críticos: {'1%': np.float64(-3.4316752386670926), '5%': np.float64(-2.86212561054255), '10%': np.float64(-2.5670817214845068)}
Sección 9 : Agregación por grupos (semanas, días, meses) y Cálculo de estadísticas móviles#
Agregacion por grupos:
# Asegúrate de que la columna 'Date' esté en formato datetime
df['Date'] = pd.to_datetime(df['Date'])
# Agregar por semana
weekly_data = df.resample('W', on='Date').agg({'Price': ['mean', 'std']})
# Agregar por mes
monthly_data = df.resample('M', on='Date').agg({'Price': ['mean', 'std']})
# Agregar por día
daily_data = df.resample('D', on='Date').agg({'Price': ['mean', 'std']})
# Mostrar el resultado
print("Datos semanales (media y desviación estándar):")
print(weekly_data.head())
print("\nDatos mensuales (media y desviación estándar):")
print(monthly_data.head())
print("\nDatos diarios (media y desviación estándar):")
print(daily_data.head())
Datos semanales (media y desviación estándar):
Price
mean std
Date
2010-07-18 0.1 NaN
2010-07-25 0.1 0.0
2010-08-01 0.1 0.0
2010-08-08 0.1 0.0
2010-08-15 0.1 0.0
Datos mensuales (media y desviación estándar):
Price
mean std
Date
2010-07-31 0.100000 0.000000
2010-08-31 0.100000 0.000000
2010-09-30 0.100000 0.000000
2010-10-31 0.119355 0.040161
2010-11-30 0.263333 0.055605
Datos diarios (media y desviación estándar):
Price
mean std
Date
2010-07-18 0.1 NaN
2010-07-19 0.1 NaN
2010-07-20 0.1 NaN
2010-07-21 0.1 NaN
2010-07-22 0.1 NaN
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11860\1942824804.py:8: FutureWarning:
'M' is deprecated and will be removed in a future version, please use 'ME' instead.
Comportamiento de la media y desviación estándar
# Convertir la columna 'Date' a tipo datetime
df['Date'] = pd.to_datetime(df['Date'], format='%Y-%m-%d')
# Agrupar los datos por semana, mes y año y calcular la media y la desviación estándar
weekly_data = df.resample('W', on='Date').agg({'Price': ['mean', 'std']})
monthly_data = df.resample('M', on='Date').agg({'Price': ['mean', 'std']})
annual_data = df.resample('Y', on='Date').agg({'Price': ['mean', 'std']})
# Graficar el comportamiento de la media y desviación estándar por semanas
plt.figure(figsize=(10, 6))
plt.plot(weekly_data.index, weekly_data['Price']['mean'], label='Media Semanal', color='blue')
plt.fill_between(weekly_data.index, weekly_data['Price']['mean'] - weekly_data['Price']['std'],
weekly_data['Price']['mean'] + weekly_data['Price']['std'], color='blue', alpha=0.2)
plt.title('Comportamiento de la Media y Desviación Estándar Semanal')
plt.xlabel('Fecha')
plt.ylabel('Precio')
plt.legend()
plt.xticks(rotation=45)
plt.show()
# Graficar para los datos mensuales
plt.figure(figsize=(10, 6))
plt.plot(monthly_data.index, monthly_data['Price']['mean'], label='Media Mensual', color='green')
plt.fill_between(monthly_data.index, monthly_data['Price']['mean'] - monthly_data['Price']['std'],
monthly_data['Price']['mean'] + monthly_data['Price']['std'], color='green', alpha=0.2)
plt.title('Comportamiento de la Media y Desviación Estándar Mensual')
plt.xlabel('Fecha')
plt.ylabel('Precio')
plt.legend()
plt.xticks(rotation=45)
plt.show()
# Graficar el comportamiento de la media y desviación estándar anual
plt.figure(figsize=(10, 6))
plt.plot(annual_data.index, annual_data['Price']['mean'], label='Media Anual', color='purple')
plt.fill_between(annual_data.index, annual_data['Price']['mean'] - annual_data['Price']['std'],
annual_data['Price']['mean'] + annual_data['Price']['std'], color='purple', alpha=0.2)
plt.title('Comportamiento de la Media y Desviación Estándar Anual')
plt.xlabel('Fecha')
plt.ylabel('Precio')
plt.legend()
plt.xticks(rotation=45)
plt.show()
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11860\3000577512.py:6: FutureWarning:
'M' is deprecated and will be removed in a future version, please use 'ME' instead.
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11860\3000577512.py:7: FutureWarning:
'Y' is deprecated and will be removed in a future version, please use 'YE' instead.
En estas graficas vemos como pese a que la desviacion standard diaria no es alta, la anual gracias a la gran robustez de datos si es mayor
Estadisticos Moviles
# Media y desviación estándar móviles con ventana de 30 días
df['Mean_Mobile'] = df['Price'].rolling(window=30).mean()
df['Std_Mobile'] = df['Price'].rolling(window=30).std()
# Graficar la media móvil y la desviación estándar móvil
plt.figure(figsize=(10, 6))
plt.plot(df['Date'], df['Mean_Mobile'], label='Media Móvil (30 días)', color='blue')
plt.fill_between(df['Date'], df['Mean_Mobile'] - df['Std_Mobile'],
df['Mean_Mobile'] + df['Std_Mobile'], color='blue', alpha=0.2)
plt.title('Media Móvil y Desviación Estándar Móvil (30 días)')
plt.xlabel('Fecha')
plt.ylabel('Precio')
plt.legend()
plt.xticks(rotation=45)
plt.show()
Distribucion de frecuencia para diferentes lags
import seaborn as sns
import matplotlib.pyplot as plt
# Diferencias con diferentes lags
df['Price_diff_1'] = df['Price'].diff(1) # Lag de 1 día
df['Price_diff_7'] = df['Price'].diff(7) # Lag de 1 semana
df['Price_diff_30'] = df['Price'].diff(30) # Lag de 1 mes
# Graficar la distribución de las diferencias para diferentes lags
plt.figure(figsize=(10, 6))
sns.histplot(df['Price_diff_1'].dropna(), label='Lag 1 día', color='blue', kde=True)
sns.histplot(df['Price_diff_7'].dropna(), label='Lag 7 días', color='green', kde=True)
sns.histplot(df['Price_diff_30'].dropna(), label='Lag 30 días', color='red', kde=True)
plt.title('Distribución de Frecuencias para Diferentes Lags')
plt.xlabel('Diferencias de Precio')
plt.ylabel('Frecuencia')
plt.ylim(0, 1100) # Ajustar el eje Y a un máximo de 1100
plt.legend()
plt.show()
Sección 10: Aplicación de las medias móviles#
Medias móviles: Se calculan medias móviles para diferentes ventanas (2, 3, 4 días) y se comparan con la serie original.
Remover tendencia: La serie se suaviza con una media móvil y se elimina la tendencia restando la media móvil de la serie original.
Pruebas de estacionariedad: Aplicamos el test de Dickey-Fuller y el test de Ljung-Box para verificar si la serie sin tendencia es estacionaria.
Aplicamos las medias moviles
# Medias móviles de diferentes órdenes
df['M2'] = df['Price'].rolling(window=2).mean()
df['M4'] = df['Price'].rolling(window=4).mean()
df['M3'] = df['Price'].rolling(window=3).mean()
# Visualizar las medias móviles junto con la serie original
plt.figure(figsize=(10, 6))
plt.plot(df['Date'], df['Price'], label='Precio Original', color='black')
plt.plot(df['Date'], df['M2'], label='Media Móvil (2 días)', color='blue')
plt.plot(df['Date'], df['M4'], label='Media Móvil (4 días)', color='green')
plt.plot(df['Date'], df['M3'], label='Media Móvil (3 días)', color='red')
plt.title('Medias Móviles de Diferentes Ventanas')
plt.xlabel('Fecha')
plt.ylabel('Precio')
plt.legend()
plt.xticks(rotation=45)
plt.show()
Removemos la tendencia con la media movil
# Remover la tendencia restando la media móvil de 4 días de la serie original
df['Detrended'] = df['Price'] - df['M4']
# Graficar la serie sin tendencia
plt.figure(figsize=(10, 6))
plt.plot(df['Date'], df['Detrended'], label='Serie sin Tendencia', color='purple')
plt.title('Serie de Precios sin Tendencia (Media Móvil 4 días)')
plt.xlabel('Fecha')
plt.ylabel('Precio Detrended')
plt.legend()
plt.xticks(rotation=45)
plt.show()
Pruebas de estacionariedad (Dickey-Fuller y Ljung-Box):
from statsmodels.tsa.stattools import adfuller
from statsmodels.stats.diagnostic import acorr_ljungbox
# Aplicar la prueba de Dickey-Fuller en la serie sin tendencia
adf_result = adfuller(df['Detrended'].dropna())
print(f'Estadístico ADF: {adf_result[0]}')
print(f'Valor P: {adf_result[1]}')
# Aplicar la prueba de Ljung-Box en la serie sin tendencia
ljungbox_result = acorr_ljungbox(df['Detrended'].dropna(), lags=[10], return_df=True)
print(ljungbox_result)
Estadístico ADF: -9.249080004579481
Valor P: 1.5093100712032719e-15
lb_stat lb_pvalue
10 1894.301002 0.0
Prueba de Dickey-Fuller (ADF):
Interpretación: Dado que el valor p es mucho menor a 0.05, puedes rechazar la hipótesis nula de que la serie tiene una raíz unitaria, lo que significa que la serie sin tendencia es estacionaria.
Prueba de Ljung-Box:
Interpretación: Un valor p de 0.0 en la prueba de Ljung-Box sugiere que hay autocorrelación significativa en los residuos. Esto significa que, aunque la serie sea estacionaria según la prueba de Dickey-Fuller, aún hay dependencia temporal (autocorrelación) que debe ser explicada o modelada.
Sección 11: Descomposición de la serie temporal del precio de cierre de BTC-USD#
Descomposicion con medias moviles
import pandas as pd
import numpy as np
import matplotlib.pyplot as plt
from statsmodels.tsa.seasonal import seasonal_decompose
# Aplicar media móvil de 7 días para suavizar
df['Price_MA7'] = df['Price'].rolling(window=7).mean()
# Graficar la serie original y la suavizada
plt.figure(figsize=(10, 6))
plt.plot(df['Date'], df['Price'], label='Precio Original', color='black')
plt.plot(df['Date'], df['Price_MA7'], label='Media Móvil 7 días', color='blue')
plt.title('Precio Original vs. Media Móvil (7 días)')
plt.xlabel('Fecha')
plt.ylabel('Precio')
plt.legend()
plt.xticks(rotation=45)
plt.show()
# Descomposición de la serie temporal usando statsmodels.tsa
decomposed = seasonal_decompose(df['Price_MA7'].dropna(), model='additive', period=30)
# Graficar la descomposición
decomposed.plot()
plt.show()
Verificación de la independencia de los residuos (Prueba de Ljung-Box)
from statsmodels.stats.diagnostic import acorr_ljungbox
# Obtener los residuos de la descomposición
residuos = decomposed.resid.dropna()
# Aplicar la prueba de Ljung-Box en los residuos
ljungbox_result = acorr_ljungbox(residuos, lags=[10], return_df=True)
# Mostrar los resultados de la prueba
print(ljungbox_result)
lb_stat lb_pvalue
10 14625.69533 0.0
El valor p extremadamente pequeño sugiere que existe autocorrelación significativa en los residuos. Esto implica que la descomposición realizada aún no ha eliminado toda la dependencia temporal en los residuos.
Analisis de la serie de BITCOIN para el retorno acumulado diario AT y las volatilidades#
import pandas as pd
df = pd.read_csv(BHdata)
# Convertir la columna 'Date' a tipo datetime
df['Date'] = pd.to_datetime(df['Date'], format='%m/%d/%Y')
# Convertir las columnas 'Price', 'Open', 'High', 'Low' eliminando comas y convirtiendo a float
df['Price'] = pd.to_numeric(df['Price'].str.replace(',', ''), errors='coerce')
df['Open'] = pd.to_numeric(df['Open'].str.replace(',', ''), errors='coerce')
df['High'] = pd.to_numeric(df['High'].str.replace(',', ''), errors='coerce')
df['Low'] = pd.to_numeric(df['Low'].str.replace(',', ''), errors='coerce')
# Convertir la columna 'Vol.' eliminando comas, reemplazando 'K' por 'e3' y 'M' por 'e6', y luego convertir a numérico
df['Vol.'] = df['Vol.'].str.replace('K', 'e3').str.replace('M', 'e6').str.replace(',', '')
df['Vol.'] = pd.to_numeric(df['Vol.'], errors='coerce')
# Convertir la columna 'Change %' eliminando el símbolo '%' y convirtiendo a float
df['Change %'] = df['Change %'].str.replace('%', '').astype(float)
# Eliminar las filas con valores nulos en la columna 'Price'
df.dropna(subset=['Price'], inplace=True)
# Calcular el retorno diario Rt
df['Rt'] = (df['Price'] - df['Price'].shift(1)) / df['Price'].shift(1)
# Calcular el retorno acumulado diario At
df['At'] = df['Rt'].cumsum()
# Función para calcular la volatilidad usando ventanas móviles
def calcular_volatilidad(data, ventana):
"""
Esta función calcula la volatilidad (desviación estándar)
de los retornos diarios utilizando una ventana móvil.
"""
return data['Rt'].rolling(window=ventana).std()
# Calcular volatilidad para diferentes ventanas
ventanas = [7, 14, 21, 28]
for ventana in ventanas:
df[f'Volatilidad_{ventana}'] = calcular_volatilidad(df, ventana)
# Mostrar los primeros 10 registros con las nuevas columnas de volatilidad
print(df[['Date', 'At', 'Volatilidad_7', 'Volatilidad_14', 'Volatilidad_21', 'Volatilidad_28']].head(15))
Date At Volatilidad_7 Volatilidad_14 Volatilidad_21 \
0 2024-03-24 NaN NaN NaN NaN
1 2024-03-23 -0.047225 NaN NaN NaN
2 2024-03-22 -0.051165 NaN NaN NaN
3 2024-03-21 -0.024226 NaN NaN NaN
4 2024-03-20 0.011652 NaN NaN NaN
5 2024-03-19 -0.073884 NaN NaN NaN
6 2024-03-18 0.015465 NaN NaN NaN
7 2024-03-17 0.027257 0.057142 NaN NaN
8 2024-03-16 -0.017734 0.056814 NaN NaN
9 2024-03-15 0.045797 0.060785 NaN NaN
10 2024-03-14 0.073492 0.060813 NaN NaN
11 2024-03-13 0.097009 0.060247 NaN NaN
12 2024-03-12 0.075165 0.046199 NaN NaN
13 2024-03-11 0.083964 0.035128 NaN NaN
14 2024-03-10 0.040492 0.040414 0.04756 NaN
Volatilidad_28
0 NaN
1 NaN
2 NaN
3 NaN
4 NaN
5 NaN
6 NaN
7 NaN
8 NaN
9 NaN
10 NaN
11 NaN
12 NaN
13 NaN
14 NaN
# Análisis descriptivo con formato estético incluyendo 'dtype'
def descriptive_analysis(df):
print("Análisis Descriptivo")
# Resumen estadístico con tipo de dato
summary = df.describe().T # Transponemos para mostrar variables como filas
# Añadir una columna con el tipo de dato (dtype)
summary['dtype'] = df.dtypes
print(tabulate(summary, headers="keys", tablefmt="pretty"))
# Ejecutar el análisis descriptivo con presentación mejorada y tipo de datos
descriptive_analysis(df)
Análisis Descriptivo
+----------------+--------+------------------------+---------------------+-----------------------+----------------------+----------------------+---------------------+----------------------+----------------+
| | count | mean | min | 25% | 50% | 75% | max | std | dtype |
+----------------+--------+------------------------+---------------------+-----------------------+----------------------+----------------------+---------------------+----------------------+----------------+
| Date | 4999 | 2017-05-21 00:00:00 | 2010-07-18 00:00:00 | 2013-12-18 12:00:00 | 2017-05-21 00:00:00 | 2020-10-21 12:00:00 | 2024-03-24 00:00:00 | nan | datetime64[ns] |
| Price | 4999.0 | 10812.283336667333 | 0.1 | 226.7 | 1975.1 | 15450.150000000001 | 73066.3 | 15892.032468245246 | float64 |
| Open | 4999.0 | 10798.901840368073 | 0.0 | 226.45 | 1962.0 | 15372.15 | 73066.7 | 15872.785452462605 | float64 |
| High | 4999.0 | 11067.453050610124 | 0.1 | 231.4 | 2048.4 | 15954.55 | 73740.9 | 16270.707593648698 | float64 |
| Low | 4999.0 | 10511.891198239648 | 0.0 | 221.95 | 1875.3 | 14557.2 | 71338.4 | 15444.928770647624 | float64 |
| Vol. | 4977.0 | 4520315.993570424 | 80.0 | 31710.0 | 68380.0 | 181810.0 | 752840000.0 | 44956402.24859013 | float64 |
| Change % | 4999.0 | 0.41575115023004605 | -57.21 | -1.17 | 0.0 | 1.7850000000000001 | 336.84 | 7.094771253715175 | float64 |
| Rt | 4998.0 | -0.0008649416107884587 | -0.7710335525206542 | -0.018043005662710842 | 0.0 | 0.012381674779143557 | 1.3369079535299373 | 0.060963078744488954 | float64 |
| At | 4998.0 | -1.7488420320226186 | -5.0729781707207176 | -2.8795951025620825 | -1.339525597017683 | -0.7968745330235159 | 0.7233894556997841 | 1.308646419197632 | float64 |
| Volatilidad_7 | 4992.0 | 0.04004272329136203 | 0.0 | 0.017841963196907742 | 0.028731243369467502 | 0.045641369317982274 | 0.7425252346415011 | 0.046675532410058646 | float64 |
| Volatilidad_14 | 4985.0 | 0.04254656625278011 | 0.0 | 0.020570255012699223 | 0.031840592334259225 | 0.04809342031022853 | 0.5133244328337819 | 0.04381810312793947 | float64 |
| Volatilidad_21 | 4978.0 | 0.04386830333712439 | 0.0 | 0.022328891704747465 | 0.0329581872933121 | 0.048341492502098536 | 0.4172879234974023 | 0.04233204152371323 | float64 |
| Volatilidad_28 | 4971.0 | 0.044800297271042205 | 0.0 | 0.023726993331419644 | 0.03345168952269009 | 0.049422096425338735 | 0.36087652079242866 | 0.041310540523075305 | float64 |
+----------------+--------+------------------------+---------------------+-----------------------+----------------------+----------------------+---------------------+----------------------+----------------+
Revision de datos faltantes y imputacion de estos#
# Verificar si existen datos faltantes en el DataFrame
print("Datos faltantes por columna:")
print(df.isnull().sum())
# Aplicar la técnica de imputación (forward fill) para rellenar los valores nulos
df.fillna(method='ffill', inplace=True)
# Verificar si se han rellenado los datos faltantes
print("Datos faltantes por columna después de la imputación:")
print(df.isnull().sum())
# Calcular los retornos y volatilidades (suponiendo que ya lo has hecho)
# Eliminar las filas con valores nulos en las columnas 'Rt', 'At' y las volatilidades
df.dropna(subset=['Rt', 'At', 'Volatilidad_7', 'Volatilidad_14', 'Volatilidad_21', 'Volatilidad_28'], inplace=True)
# Verificar si aún existen datos faltantes
print("Datos faltantes por columna después de eliminar filas con NaN:")
print(df.isnull().sum())
Datos faltantes por columna:
Date 0
Price 0
Open 0
High 0
Low 0
Vol. 22
Change % 0
Rt 1
At 1
Volatilidad_7 7
Volatilidad_14 14
Volatilidad_21 21
Volatilidad_28 28
dtype: int64
Datos faltantes por columna después de la imputación:
Date 0
Price 0
Open 0
High 0
Low 0
Vol. 0
Change % 0
Rt 1
At 1
Volatilidad_7 7
Volatilidad_14 14
Volatilidad_21 21
Volatilidad_28 28
dtype: int64
Datos faltantes por columna después de eliminar filas con NaN:
Date 0
Price 0
Open 0
High 0
Low 0
Vol. 0
Change % 0
Rt 0
At 0
Volatilidad_7 0
Volatilidad_14 0
Volatilidad_21 0
Volatilidad_28 0
dtype: int64
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11860\1827283486.py:6: FutureWarning:
DataFrame.fillna with 'method' is deprecated and will raise in a future version. Use obj.ffill() or obj.bfill() instead.
Graficos de Velas para At#
import plotly.graph_objects as go
# Crear gráfico de velas (candlestick chart)
def plot_candlestick(df):
fig = go.Figure(data=[go.Candlestick(x=df['Date'],
open=df['Open'],
high=df['High'],
low=df['Low'],
close=df['At'],
name='Candlestick')])
# Configuración del título y los ejes
fig.update_layout(
title='Gráfico de Velas del retorno acumulado del Bitcoin',
xaxis_title='Fecha',
yaxis_title='Retorno acumulado diario (USD)',
xaxis_rangeslider_visible=False, # Ocultar el slider
template='plotly_white' # Estilo limpio
)
# Mostrar el gráfico
fig.show()
# Ejecutar el gráfico de velas
plot_candlestick(df)
Analisis del grafico de velas del AT del Bitcoin#
El gráfico de velas de los retornos acumulados de Bitcoin en estos últimos 14 años me muestra cómo ha tenido picos de crecimiento impresionantes, con subidas fuertes en momentos como 2017 y luego entre 2020 y 2021. Entre esos picos veo también caídas marcadas, como en 2018 y otra en 2022, que destacan la volatilidad de este mercado. A pesar de esas correcciones, lo que se ve es una tendencia a que, cada vez que retrocede, termina alcanzando nuevos máximos en el largo plazo.
Histograma de las Volatilidades#
import plotly.express as px
# Crear el histograma de las volatilidades
def plot_volatility_histogram(df, volatility_column):
fig = px.histogram(df, x=volatility_column, nbins=50, title=f'Histograma de {volatility_column}')
# Configuración del diseño del histograma
fig.update_layout(
xaxis_title='Volatilidad',
yaxis_title='Frecuencia',
template='plotly_white', # Estilo limpio
bargap=0.1 # Ajustar el espacio entre barras
)
# Mostrar el gráfico
fig.show()
# Ejecutar el histograma para 'Volatilidad_7', 'Volatilidad_14', 'Volatilidad_21' y 'Volatilidad_28'
volatility_columns = ['Volatilidad_7', 'Volatilidad_14', 'Volatilidad_21', 'Volatilidad_28']
for col in volatility_columns:
plot_volatility_histogram(df, col)
Analisis del histograma de las volatilidades#
Al ver estos histogramas de volatilidad de Bitcoin con ventanas de 7, 14, 21 y 28 días, noto que todos muestran una distribución similar. La mayor parte de la volatilidad se concentra en niveles bajos, especialmente entre 0 y 0.05, sin importar la longitud de la ventana. Esto me indica que, independientemente del período de observación, la volatilidad de Bitcoin tiende a mantenerse en valores reducidos la mayoría del tiempo.
Sin embargo, en todos los histogramas hay algunas observaciones en rangos más altos, alrededor de 0.05 a 0.15, que son menos frecuentes pero marcan episodios de volatilidad alta que ocurren esporádicamente. Más allá de 0.15, los valores son todavía menos comunes, lo cual es consistente en todas las ventanas. Esto sugiere que los picos de volatilidad, aunque presentes, no son la norma y se presentan como eventos aislados, manteniendo una estructura estable en los datos de volatilidad acumulada en diferentes periodos.
Graficos de subseries de tiempo para las volatilidades y para At#
import pandas as pd
import plotly.express as px
# Asegúrate de que 'Date' sea una columna de tipo datetime
df['Date'] = pd.to_datetime(df['Date'], format='%m/%d/%Y')
# Agregar columnas para semana, mes y año
df['Week'] = df['Date'].dt.isocalendar().week
df['Month'] = df['Date'].dt.month
df['Year'] = df['Date'].dt.year
# Función para graficar la serie de tiempo
def graficar_serie_tiempo(df, columna, freq, titulo):
# Agrupar por frecuencia y calcular el promedio
if freq == 'semanal':
df_grouped = df.groupby(['Year', 'Week']).mean().reset_index()
x = df_grouped['Year'].astype(str) + '-W' + df_grouped['Week'].astype(str)
elif freq == 'mensual':
df_grouped = df.groupby(['Year', 'Month']).mean().reset_index()
x = df_grouped['Year'].astype(str) + '-M' + df_grouped['Month'].astype(str)
elif freq == 'anual':
df_grouped = df.groupby('Year').mean().reset_index()
x = df_grouped['Year'].astype(str)
# Graficar
fig = px.line(df_grouped, x=x, y=columna, title=titulo)
fig.update_layout(xaxis_title='Fecha', yaxis_title=columna, template='plotly_white')
fig.show()
# Graficar cada una de las volatilidades y At en frecuencias semanales, mensuales y anuales
volatilidades = ['Volatilidad_7', 'Volatilidad_14', 'Volatilidad_21', 'Volatilidad_28', 'At']
frecuencias = ['semanal', 'mensual', 'anual']
for volatilidad in volatilidades:
for freq in frecuencias:
graficar_serie_tiempo(df, volatilidad, freq, f'{volatilidad} ({freq.capitalize()})')
Analisis de la descomposicion por tiempo de la volatilidad#
Al observar estos 12 gráficos de la serie de tiempo de la volatilidad del Bitcoin, divididos en ventanas semanal, mensual y anual, noto un patrón interesante. Conforme aumenta la ventana con la que se mide la volatilidad, esta muestra más variación y picos, especialmente en las ventanas semanales. Esto significa que en periodos cortos, la volatilidad tiende a moverse de manera más abrupta y refleja mejor los eventos inmediatos que afectan el mercado.
Sin embargo, cuando analizo la volatilidad en periodos mayores, como las ventanas mensuales y, especialmente, en las anuales, noto que la variación disminuye considerablemente. La volatilidad se suaviza y fluctúa menos, mostrando un comportamiento más estable en el largo plazo. Esto me indica que, aunque Bitcoin es un activo volátil a corto plazo, en el horizonte anual su volatilidad presenta una tendencia a estabilizarse. Este análisis resalta cómo, dependiendo de la ventana y el período de observación, puedo obtener una percepción distinta sobre la estabilidad del mercado de Bitcoin: alta variabilidad a corto plazo, pero relativa estabilidad cuando se ve en un contexto de largo plazo.
Analisis de la descomposicion por tiempo de At#
Al analizar estos cuatro gráficos de los retornos acumulados del Bitcoin, noto un patrón similar al de la volatilidad en cuanto a cómo varía según la ventana de medición. A medida que aumento la ventana para calcular los retornos acumulados, veo mayores fluctuaciones en el corto plazo, reflejando de manera más clara las subidas y caídas abruptas del mercado en periodos de tiempo más pequeños.
Sin embargo, al observar los retornos acumulados en ventanas más largas, las fluctuaciones comienzan a suavizarse, mostrando una trayectoria más estable y creciente. Esto me indica que, aunque el Bitcoin es altamente volátil en el corto plazo, en un horizonte más amplio, los retornos acumulados reflejan una tendencia más positiva y consistente. Esta comparación me permite ver que, a corto plazo, los retornos están mucho más influenciados por la volatilidad, mientras que en el largo plazo la perspectiva de crecimiento se vuelve más clara y menos afectada por las variaciones diarias o semanales.
Subseries pero con Boxplot#
import plotly.express as px
# Función ajustada para graficar box plots con cajas visibles
def graficar_boxplot(df, columna, freq, titulo):
# Agrupar por frecuencia
if freq == 'semanal':
df['Semana_Año'] = df['Date'].dt.strftime('%Y-W%U')
x = 'Semana_Año'
elif freq == 'mensual':
df['Mes_Año'] = df['Date'].dt.strftime('%Y-%m')
x = 'Mes_Año'
elif freq == 'anual':
x = 'Year'
# Graficar box plot, eliminando puntos adicionales para mostrar las cajas claramente
fig = px.box(df, x=x, y=columna, title=titulo)
fig.update_layout(
xaxis_title='Fecha',
yaxis_title=columna,
template='plotly_white'
)
fig.show()
# Graficar box plots para cada volatilidad y At en frecuencias semanales, mensuales y anuales
volatilidades = ['Volatilidad_7', 'Volatilidad_14', 'Volatilidad_21', 'Volatilidad_28', 'At']
frecuencias = ['semanal', 'mensual', 'anual']
for volatilidad in volatilidades:
for freq in frecuencias:
graficar_boxplot(df, volatilidad, freq, f'Box Plot de {volatilidad} ({freq.capitalize()})')
Analisis graficos Boxplot para la volatilidad#
Al observar estos 12 gráficos boxplot de la serie de tiempo de la volatilidad del Bitcoin, divididos en ventanas semanal, mensual y anual, noto un patrón claro en cómo la volatilidad se comporta en diferentes horizontes temporales. En los boxplots semanales, la variación es tan alta que las cajas no logran formarse bien, y lo que predomina son muchos puntos dispersos. Esto me indica que, a corto plazo, la volatilidad es extremadamente variable, con cambios bruscos y constantes que reflejan los movimientos erráticos del mercado de Bitcoin.
Cuando paso a los boxplots de ventanas mensuales, noto que aunque aún hay puntos dispersos, empieza a formarse una estructura más clara en las cajas, con una menor dispersión que en las semanas. Esto sugiere que, aunque persisten los cambios, la volatilidad empieza a estabilizarse un poco cuando se considera en un horizonte intermedio.
Finalmente, al observar los gráficos de ventanas anuales, veo cajas mucho más definidas y una dispersión notablemente menor. Aquí la variabilidad de la volatilidad se reduce considerablemente, mostrando que a mayor plazo la volatilidad se comporta de forma más estable. Este análisis me confirma que, mientras que a corto plazo el Bitcoin es altamente volátil, en periodos largos esta volatilidad se modera, lo cual es útil para tener una visión más equilibrada de su comportamiento en el largo plazo.
Analisis Boxplot para los retornos acumulados (AT)#
Al ver estos cuatro gráficos boxplot de los retornos acumulados del Bitcoin, noto un patrón similar al de la volatilidad en términos de cómo la variación cambia con la ventana de medición. En los gráficos con ventanas más cortas, los retornos acumulados muestran una alta dispersión, con muchos puntos individuales fuera de las cajas, lo cual indica una variabilidad considerable y refleja los cambios bruscos que caracterizan al Bitcoin en periodos más cortos.
A medida que se amplía la ventana, veo que los boxplots empiezan a tener cajas más definidas y menos puntos dispersos. Esto sugiere que los retornos acumulados comienzan a estabilizarse cuando se miran en horizontes más largos. En las ventanas más amplias, los boxplots muestran una estructura más compacta y una variación menor en los retornos acumulados, lo que indica que, aunque el Bitcoin puede ser muy volátil en el corto plazo, sus retornos acumulados tienden a estabilizarse en el largo plazo. Esto me da una perspectiva de que, aunque el mercado puede ser inestable a corto plazo, el crecimiento acumulado de Bitcoin muestra una trayectoria más constante y menos influida por las variaciones diarias.
Ahora haremos los graficos ACF para At y cada uno de las volatilidades#
import matplotlib.pyplot as plt
from statsmodels.graphics.tsaplots import plot_acf
# Función para graficar ACF
def graficar_acf(serie, titulo):
plt.figure(figsize=(10, 6))
plot_acf(serie.dropna(), lags=40) # Se eliminan valores nulos y se usa un lag de hasta 40 períodos
plt.title(f'ACF de {titulo}')
plt.show()
# Graficar ACF para cada volatilidad y At
series = ['Volatilidad_7', 'Volatilidad_14', 'Volatilidad_21', 'Volatilidad_28', 'At']
for serie in series:
graficar_acf(df[serie], serie)
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Analisis bandas ACF para la volatilidad y retornos acumulados#
Al analizar estos cuatro gráficos de la función de autocorrelación (ACF) de la serie de tiempo de la volatilidad del Bitcoin, noto que todos muestran una espina descendente con los rezagos claramente por fuera de la banda de significancia. Esto me indica una fuerte correlación entre los valores de la volatilidad a lo largo del tiempo, lo cual sugiere que la volatilidad del Bitcoin es altamente persistente: los valores actuales están fuertemente influenciados por los valores pasados. Esta “espina” que va decayendo gradualmente es típica de una serie donde los cambios en la volatilidad tienden a prolongarse antes de disminuir, mostrando una memoria larga en la serie.
Por otro lado, el gráfico de ACF del retorno acumulado es aún más extremo, con todos los rezagos alineados de manera recta y significativamente por encima de la banda de significancia, alcanzando el límite superior. Este patrón es un claro indicio de que los retornos acumulados no tienen independencia temporal; cada valor está fuertemente correlacionado con todos los valores anteriores. Esto es consistente con el hecho de que los retornos acumulados siguen una tendencia en el tiempo, lo que hace que se mantengan altamente correlacionados y que el efecto acumulativo de los retornos sea persistente. En ambos casos, estos gráficos resaltan la naturaleza no aleatoria y la fuerte dependencia temporal de las series de volatilidad y retornos acumulados del Bitcoin.
Pruebas Ljunj box y Dickey Fuller para At y las volatilidades#
from statsmodels.tsa.stattools import adfuller
from statsmodels.stats.diagnostic import acorr_ljungbox
import pandas as pd
# Función para realizar las pruebas Ljung-Box y Dickey-Fuller y retornar los resultados en un diccionario
def pruebas_ljung_box_dickey_fuller(serie, nombre_serie):
resultados = {}
# Eliminar valores nulos
serie = serie.dropna()
if len(serie) > 0:
# Prueba Dickey-Fuller aumentada
adf_resultado = adfuller(serie)
resultados['ADF_stat'] = adf_resultado[0]
resultados['ADF_p_val'] = adf_resultado[1]
# Prueba Ljung-Box
ljung_box_resultado = acorr_ljungbox(serie, lags=[10], return_df=True)
resultados['LjungBox_stat'] = ljung_box_resultado['lb_stat'].values[0]
resultados['LjungBox_p_val'] = ljung_box_resultado['lb_pvalue'].values[0]
else:
# Si la serie no tiene suficientes datos
resultados['ADF_stat'] = None
resultados['ADF_p_val'] = None
resultados['LjungBox_stat'] = None
resultados['LjungBox_p_val'] = None
return resultados
# Series de interés
series = ['Volatilidad_7', 'Volatilidad_14', 'Volatilidad_21', 'Volatilidad_28', 'At']
resultados_pruebas = []
# Realizar las pruebas para cada serie y almacenar los resultados
for serie in series:
resultados = pruebas_ljung_box_dickey_fuller(df[serie], serie)
resultados['Serie'] = serie # Añadir el nombre de la serie
resultados_pruebas.append(resultados)
# Crear un DataFrame con los resultados
df_resultados = pd.DataFrame(resultados_pruebas)
# Reorganizar las columnas para mayor claridad
df_resultados = df_resultados[['Serie', 'ADF_stat', 'ADF_p_val', 'LjungBox_stat', 'LjungBox_p_val']]
# Mostrar la tabla con todos los resultados
print(df_resultados)
Serie ADF_stat ADF_p_val LjungBox_stat LjungBox_p_val
0 Volatilidad_7 -7.461204 5.348106e-11 20281.088500 0.0
1 Volatilidad_14 -6.800477 2.243763e-09 33518.917481 0.0
2 Volatilidad_21 -6.739235 3.149657e-09 39480.766093 0.0
3 Volatilidad_28 -5.342915 4.459348e-06 42274.381698 0.0
4 At -1.617701 4.739347e-01 48959.539109 0.0
Analisis de los resultados de pruebas de estacionaridad#
Los resultados de las pruebas de ADF y Ljung-Box que he analizado me brindan información crucial sobre la naturaleza de las series de tiempo que estoy evaluando. En primer lugar, al revisar la prueba ADF, puedo concluir que las series Volatilidad_7, Volatilidad_14, Volatilidad_21 y Volatilidad_28 son estacionarias, ya que sus estadísticos son suficientemente negativos y los p-valores son muy bajos, lo que indica que puedo rechazar la hipótesis nula de que contienen una raíz unitaria.
Sin embargo, la serie At no es estacionaria. Su estadístico ADF es menos negativo y su p-valor es superior a 0.05, lo que significa que no puedo rechazar la hipótesis nula en este caso. Esto sugiere que podría ser necesario aplicar alguna transformación o diferenciar la serie para lograr la estacionariedad, lo cual es fundamental para el análisis de series de tiempo.
Por otro lado, al evaluar los resultados de la prueba de Ljung-Box, encuentro que todas las series, incluso las que son estacionarias, presentan evidencia de autocorrelación en los residuos, ya que los p-valores son prácticamente cero. Esto indica que hay patrones en los datos que no han sido capturados por el análisis hasta ahora. La presencia de autocorrelación sugiere que podría ser útil investigar más a fondo estos datos y considerar ajustes adicionales en mi enfoque para lograr una mejor comprensión de su comportamiento.
A pesar de que las series de volatilidad parecen ser estacionarias según las pruebas ADF, la evidencia de autocorrelación observada en las pruebas ACF me lleva a la decisión de diferenciarlas. En resumen, tengo avances significativos con las series estacionarias, pero la autocorrelación en los residuos me indica que es necesario profundizar en el análisis y ajustar mi enfoque para obtener resultados más precisos y relevantes. Además, debo abordar el tratamiento de la serie At para integrarla adecuadamente en mi evaluación.
Como At no nos dio estacionario, lo diferenciamos y repetimos analisis#
import pandas as pd
import matplotlib.pyplot as plt
from statsmodels.tsa.stattools import acf
from statsmodels.tsa.seasonal import seasonal_decompose
import statsmodels.api as sm
# Aplicar una diferencia a la serie At
df['At_diff'] = df['At'].diff().dropna()
# Graficar la ACF de la serie diferenciada
fig, ax = plt.subplots(figsize=(10, 6))
sm.graphics.tsa.plot_acf(df['At_diff'].dropna(), ax=ax)
plt.title('ACF de At Diferenciada')
plt.show()
# Descomposición de la serie diferenciada
result = seasonal_decompose(df['At_diff'].dropna(), model='additive', period=30)
# Graficar la descomposición
result.plot()
plt.show()
import matplotlib.pyplot as plt
from statsmodels.tsa.seasonal import seasonal_decompose
import statsmodels.api as sm
# Lista de las volatilidades a diferenciar
volatilidades = ['Volatilidad_7', 'Volatilidad_14', 'Volatilidad_21', 'Volatilidad_28']
# Bucle para diferenciar, graficar ACF y descomposición de cada volatilidad
for vol in volatilidades:
# Aplicar la diferenciación
df[f'{vol}_diff'] = df[vol].diff().dropna()
# Graficar la ACF de la volatilidad diferenciada
fig, ax = plt.subplots(figsize=(10, 6))
sm.graphics.tsa.plot_acf(df[f'{vol}_diff'].dropna(), ax=ax)
plt.title(f'ACF de {vol} Diferenciada')
plt.show()
# Descomposición de la volatilidad diferenciada
result = seasonal_decompose(df[f'{vol}_diff'].dropna(), model='additive', period=30)
# Graficar la descomposición
result.plot()
plt.suptitle(f'Descomposición de {vol} Diferenciada', y=1.02)
plt.show()
Decidimos aplicar diferenciación a las series de volatilidad a pesar de que los resultados de la prueba de Dickey-Fuller indicaban que eran estacionarias. La razón detrás de esta decisión fue que la función de autocorrelación (ACF) no mostraba un comportamiento claramente estacionario, lo que nos llevó a cuestionar la estacionariedad de las series.
Aunque el test de Dickey-Fuller sugiere que las series cumplen con los criterios de estacionariedad, la ACF reveló patrones que no eran consistentes con esta conclusión. La ACF puede mostrar la falta de una disminución rápida de la autocorrelación, lo que sugiere que la serie podría tener una estructura más compleja o contener elementos no observados.
Por lo tanto, optamos por diferenciar las series para asegurarnos de que eliminábamos cualquier tendencia o comportamiento no estacionario que pudiera no haber sido captado completamente por la prueba de Dickey-Fuller. Esta decisión nos permite obtener series más adecuadas para análisis posteriores y modelado, asegurando que nuestras inferencias sean más robustas y confiables.
Agregación por grupos (semanas, días, meses) y Cálculo de estadísticas móviles para At y Volatilidades#
import pandas as pd
# Columnas de interés (At y volatilidades)
variables = ['At', 'Volatilidad_7', 'Volatilidad_14', 'Volatilidad_21', 'Volatilidad_28']
# Agregar por semana
weekly_data = df.resample('W', on='Date').agg({var: ['mean', 'std'] for var in variables})
# Agregar por mes
monthly_data = df.resample('M', on='Date').agg({var: ['mean', 'std'] for var in variables})
# Agregar por día
daily_data = df.resample('D', on='Date').agg({var: ['mean', 'std'] for var in variables})
# Mostrar el resultado
print("Datos semanales (media y desviación estándar):")
print(weekly_data.head())
print("\nDatos mensuales (media y desviación estándar):")
print(monthly_data.head())
print("\nDatos diarios (media y desviación estándar):")
print(daily_data.head())
Datos semanales (media y desviación estándar):
At Volatilidad_7 Volatilidad_14 \
mean std mean std mean std
Date
2010-07-18 -4.322978 NaN 0.0 NaN 0.0 NaN
2010-07-25 -4.322978 0.0 0.0 0.0 0.0 0.0
2010-08-01 -4.322978 0.0 0.0 0.0 0.0 0.0
2010-08-08 -4.322978 0.0 0.0 0.0 0.0 0.0
2010-08-15 -4.322978 0.0 0.0 0.0 0.0 0.0
Volatilidad_21 Volatilidad_28
mean std mean std
Date
2010-07-18 0.0 NaN 0.0 NaN
2010-07-25 0.0 0.0 0.0 0.0
2010-08-01 0.0 0.0 0.0 0.0
2010-08-08 0.0 0.0 0.0 0.0
2010-08-15 0.0 0.0 0.0 0.0
Datos mensuales (media y desviación estándar):
At Volatilidad_7 Volatilidad_14 \
mean std mean std mean
Date
2010-07-31 -4.322978 0.000000 0.000000 0.000000 0.000000
2010-08-31 -4.322978 0.000000 0.000000 0.000000 0.000000
2010-09-30 -4.322978 0.000000 0.000000 0.000000 0.000000
2010-10-31 -4.226204 0.200805 0.058310 0.087039 0.108616
2010-11-30 -3.903534 0.242200 0.208736 0.097184 0.204451
Volatilidad_21 Volatilidad_28
std mean std mean std
Date
2010-07-31 0.000000 0.000000 0.000000 0.000000 0.000000
2010-08-31 0.000000 0.000000 0.000000 0.000000 0.000000
2010-09-30 0.000000 0.000000 0.000000 0.009449 0.028832
2010-10-31 0.087996 0.143952 0.072847 0.163912 0.045570
2010-11-30 0.033481 0.198878 0.020037 0.207881 0.025490
Datos diarios (media y desviación estándar):
At Volatilidad_7 Volatilidad_14 Volatilidad_21 \
mean std mean std mean std mean
Date
2010-07-18 -4.322978 NaN 0.0 NaN 0.0 NaN 0.0
2010-07-19 -4.322978 NaN 0.0 NaN 0.0 NaN 0.0
2010-07-20 -4.322978 NaN 0.0 NaN 0.0 NaN 0.0
2010-07-21 -4.322978 NaN 0.0 NaN 0.0 NaN 0.0
2010-07-22 -4.322978 NaN 0.0 NaN 0.0 NaN 0.0
Volatilidad_28
std mean std
Date
2010-07-18 NaN 0.0 NaN
2010-07-19 NaN 0.0 NaN
2010-07-20 NaN 0.0 NaN
2010-07-21 NaN 0.0 NaN
2010-07-22 NaN 0.0 NaN
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11860\1952300390.py:12: FutureWarning:
'M' is deprecated and will be removed in a future version, please use 'ME' instead.
Media y desviacion standard movil para AT y las volatilidades ( Semanal, Mensual y Anual)#
import matplotlib.pyplot as plt
# Lista de variables (At y volatilidades)
variables = ['At', 'Volatilidad_7', 'Volatilidad_14', 'Volatilidad_21', 'Volatilidad_28']
colors = ['blue', 'green', 'orange', 'red', 'purple']
# Graficar el comportamiento de la media y desviación estándar por semanas para cada variable
for i, var in enumerate(variables):
plt.figure(figsize=(10, 6))
plt.plot(weekly_data.index, weekly_data[var]['mean'], label=f'Media Semanal - {var}', color=colors[i])
plt.fill_between(weekly_data.index, weekly_data[var]['mean'] - weekly_data[var]['std'],
weekly_data[var]['mean'] + weekly_data[var]['std'], color=colors[i], alpha=0.2)
plt.title(f'Comportamiento de la Media y Desviación Estándar Semanal - {var}')
plt.xlabel('Fecha')
plt.ylabel(var)
plt.legend()
plt.xticks(rotation=45)
plt.show()
# Graficar el comportamiento de la media y desviación estándar mensual para cada variable
for i, var in enumerate(variables):
plt.figure(figsize=(10, 6))
plt.plot(monthly_data.index, monthly_data[var]['mean'], label=f'Media Mensual - {var}', color=colors[i])
plt.fill_between(monthly_data.index, monthly_data[var]['mean'] - monthly_data[var]['std'],
monthly_data[var]['mean'] + monthly_data[var]['std'], color=colors[i], alpha=0.2)
plt.title(f'Comportamiento de la Media y Desviación Estándar Mensual - {var}')
plt.xlabel('Fecha')
plt.ylabel(var)
plt.legend()
plt.xticks(rotation=45)
plt.show()
# Agregar por año para cada variable
annual_data = df.resample('Y', on='Date').agg({var: ['mean', 'std'] for var in variables})
# Graficar el comportamiento de la media y desviación estándar anual para cada variable
for i, var in enumerate(variables):
plt.figure(figsize=(10, 6))
plt.plot(annual_data.index, annual_data[var]['mean'], label=f'Media Anual - {var}', color=colors[i])
plt.fill_between(annual_data.index, annual_data[var]['mean'] - annual_data[var]['std'],
annual_data[var]['mean'] + annual_data[var]['std'], color=colors[i], alpha=0.2)
plt.title(f'Comportamiento de la Media y Desviación Estándar Anual - {var}')
plt.xlabel('Fecha')
plt.ylabel(var)
plt.legend()
plt.xticks(rotation=45)
plt.show()
import matplotlib.pyplot as plt
# Lista de variables (At y volatilidades)
variables = ['At', 'Volatilidad_7', 'Volatilidad_14', 'Volatilidad_21', 'Volatilidad_28']
colors = ['blue', 'green', 'orange', 'red', 'purple']
# Calcular la media móvil y la desviación estándar móvil con una ventana de 30 días para cada variable
for var in variables:
df[f'Mean_Mobile_{var}'] = df[var].rolling(window=30).mean()
df[f'Std_Mobile_{var}'] = df[var].rolling(window=30).std()
# Graficar la media móvil y la desviación estándar móvil para cada variable
for i, var in enumerate(variables):
plt.figure(figsize=(10, 6))
plt.plot(df['Date'], df[f'Mean_Mobile_{var}'], label=f'Media Móvil (30 días) - {var}', color=colors[i])
plt.fill_between(df['Date'],
df[f'Mean_Mobile_{var}'] - df[f'Std_Mobile_{var}'],
df[f'Mean_Mobile_{var}'] + df[f'Std_Mobile_{var}'],
color=colors[i], alpha=0.2)
plt.title(f'Media Móvil y Desviación Estándar Móvil (30 días) - {var}')
plt.xlabel('Fecha')
plt.ylabel(var)
plt.legend()
plt.xticks(rotation=45)
plt.show()
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11860\1982343715.py:34: FutureWarning:
'Y' is deprecated and will be removed in a future version, please use 'YE' instead.
Analisis de las medias y desviacion standard del bitcoin#
Al observar los gráficos de la desviación estándar y la media de los retornos acumulados y las volatilidades del Bitcoin en horizontes de 7, 14, 21 y 28 días durante los últimos 14 años, me encuentro con patrones interesantes que reflejan la naturaleza volátil y dinámica del mercado de criptomonedas.
El gráfico de la desviación estándar muestra picos significativos en períodos de alta volatilidad, lo que coincide con eventos clave en la historia del Bitcoin, como la adopción institucional, las regulaciones gubernamentales o cambios en la percepción pública. En particular, puedo notar que los horizontes de 7 días tienen desviaciones estándar más altas, indicando que los movimientos a corto plazo son mucho más erráticos y sensibles a cambios repentinos en el mercado. Por otro lado, las desviaciones estándar de 14, 21 y 28 días tienden a ser más suaves, lo que sugiere que la volatilidad se estabiliza un poco a medida que se amplía el horizonte de tiempo.
Al analizar el gráfico de la media de los retornos acumulados, se observa una tendencia creciente en general, lo que indica que, a largo plazo, Bitcoin ha mostrado un desempeño positivo. Sin embargo, también se aprecian algunas caídas significativas en ciertos periodos, como en 2018, cuando el mercado experimentó una corrección importante. Los horizontes de 7 días muestran fluctuaciones más pronunciadas en la media de los retornos, lo que es indicativo de los altibajos típicos del trading en el corto plazo. A medida que el horizonte se amplía a 14, 21 y 28 días, la media de los retornos se vuelve más estable, reflejando una tendencia más clara hacia la recuperación y el crecimiento sostenido.
Comparando ambos gráficos, puedo concluir que existe una relación inversa entre la media de los retornos y la desviación estándar en ciertos momentos. Durante períodos de alta volatilidad, los retornos tienden a ser más inestables, mientras que en períodos de menor volatilidad, los retornos acumulados tienden a ser más positivos y constantes.
Esta visualización me permite reflexionar sobre la importancia de considerar tanto la media como la desviación estándar en la evaluación del rendimiento del Bitcoin. Estos gráficos no solo ilustran la naturaleza riesgosa de invertir en criptomonedas, sino que también resaltan las oportunidades que pueden surgir en medio de la volatilidad, haciendo que la toma de decisiones estratégicas sea esencial para navegar en este entorno de inversión.
Distribucion de frecuencias para diferentes lags#
import seaborn as sns
# Lista de variables (At y volatilidades)
variables = ['At', 'Volatilidad_7', 'Volatilidad_14', 'Volatilidad_21', 'Volatilidad_28']
colors = ['blue', 'green', 'orange', 'red', 'purple']
# Calcular diferencias con diferentes lags (1 día, 7 días, 30 días) para cada variable
for var in variables:
df[f'{var}_diff_1'] = df[var].diff(1) # Lag de 1 día
df[f'{var}_diff_7'] = df[var].diff(7) # Lag de 1 semana
df[f'{var}_diff_30'] = df[var].diff(30) # Lag de 1 mes
# Graficar la distribución de las diferencias para diferentes lags para cada variable
for i, var in enumerate(variables):
plt.figure(figsize=(10, 6))
sns.histplot(df[f'{var}_diff_1'].dropna(), label=f'Lag 1 día - {var}', color=colors[i], kde=True)
sns.histplot(df[f'{var}_diff_7'].dropna(), label=f'Lag 7 días - {var}', color=colors[i], linestyle='--', kde=True)
sns.histplot(df[f'{var}_diff_30'].dropna(), label=f'Lag 30 días - {var}', color=colors[i], linestyle=':', kde=True)
plt.title(f'Distribución de Frecuencias para Diferentes Lags - {var}')
plt.xlabel(f'Diferencias de {var}')
plt.ylabel('Frecuencia')
plt.legend()
plt.show()
Analisis de la distribucion de lags para volatilidad y retornos acumulados del bitcoin#
Al examinar las distribuciones de frecuencia de las cuatro volatilidades (Volatilidad_7, Volatilidad_14, Volatilidad_21 y Volatilidad_28) y los retornos acumulados para diferentes lags, noto patrones interesantes que aportan más claridad sobre el comportamiento de estos datos.
En primer lugar, al observar las distribuciones de frecuencia de las volatilidades, todas parecen seguir una distribución normal y presentan formas similares. Esto es alentador, ya que sugiere que las volatilidades se comportan de manera predecible y pueden ser modeladas con técnicas estadísticas que asumen normalidad. Las colas de estas distribuciones son relativamente simétricas y no muestran sesgo significativo, lo que indica una estabilidad en las fluctuaciones de los precios del Bitcoin a lo largo de los horizontes analizados.
Sin embargo, cuando me dirijo a los retornos acumulados, la situación es algo diferente. Al visualizar su distribución de frecuencia, puedo observar que es un poco más ancha en comparación con las de volatilidad. Esto sugiere que los retornos acumulados son más propensos a mostrar extremos, lo que puede indicar que hay una mayor variabilidad en los cambios de precio a lo largo del tiempo. Este ensanchamiento puede ser el resultado de eventos de mercado inusuales o períodos de alta actividad especulativa, que son comunes en el mercado de criptomonedas.
Además, la forma de la distribución de los retornos acumulados no es tan simétrica como la de las volatilidades, lo que puede indicar la presencia de colas más pesadas. Esto significa que, aunque la mayoría de los retornos pueden agruparse alrededor de la media, hay una probabilidad mayor de observar movimientos extremos, ya sean positivos o negativos. Este comportamiento resalta el riesgo asociado con la inversión en Bitcoin, ya que aunque la tendencia general pueda ser positiva, también hay momentos de caída brusca que pueden impactar significativamente el capital invertido.
Medias moviles, retiro de la tendencia y el Ljung box y Dickey fuller test sin tendencia#
import matplotlib.pyplot as plt
# Lista de variables (At y volatilidades)
variables = ['At', 'Volatilidad_7', 'Volatilidad_14', 'Volatilidad_21', 'Volatilidad_28']
colors = ['blue', 'green', 'orange', 'red', 'purple']
# Calcular medias móviles con diferentes ventanas (2, 3, 4 días) para cada variable
for var in variables:
df[f'M2_{var}'] = df[var].rolling(window=2).mean()
df[f'M3_{var}'] = df[var].rolling(window=3).mean()
df[f'M4_{var}'] = df[var].rolling(window=4).mean()
# Graficar las medias móviles junto con la serie original para cada variable
for i, var in enumerate(variables):
plt.figure(figsize=(10, 6))
plt.plot(df['Date'], df[var], label=f'{var} Original', color='black')
plt.plot(df['Date'], df[f'M2_{var}'], label=f'Media Móvil (2 días) - {var}', color='blue')
plt.plot(df['Date'], df[f'M3_{var}'], label=f'Media Móvil (3 días) - {var}', color='red')
plt.plot(df['Date'], df[f'M4_{var}'], label=f'Media Móvil (4 días) - {var}', color='green')
plt.title(f'Medias Móviles de Diferentes Ventanas - {var}')
plt.xlabel('Fecha')
plt.ylabel(var)
plt.legend()
plt.xticks(rotation=45)
plt.show()
# Remover la tendencia restando la media móvil de 4 días de la serie original para cada variable
for i, var in enumerate(variables):
df[f'Detrended_{var}'] = df[var] - df[f'M4_{var}']
# Graficar la serie sin tendencia para cada variable
for i, var in enumerate(variables):
plt.figure(figsize=(10, 6))
plt.plot(df['Date'], df[f'Detrended_{var}'], label=f'Serie sin Tendencia - {var}', color='purple')
plt.title(f'Serie sin Tendencia (Media Móvil 4 días) - {var}')
plt.xlabel('Fecha')
plt.ylabel(f'{var} Detrended')
plt.legend()
plt.xticks(rotation=45)
plt.show()
Analisis de medias movil y serie sin tendencia para volatilidad y retornos acumulados#
Al analizar las medias móviles y las series de las volatilidades y los retornos acumulados después de retirarles la tendencia, obtengo una perspectiva más clara sobre el comportamiento subyacente de estas variables a lo largo del tiempo.
Observando las medias móviles de las volatilidades (Volatilidad_7, Volatilidad_14, Volatilidad_21 y Volatilidad_28), noto que estas líneas suavizan las fluctuaciones diarias, permitiéndome identificar patrones con mayor claridad. Las medias móviles muestran una tendencia a la baja en ciertos períodos, lo que indica que la volatilidad del Bitcoin ha disminuido, posiblemente debido a una consolidación del mercado o una menor incertidumbre en el entorno económico. Sin embargo, también se observan picos de volatilidad que correlacionan con eventos de alta actividad en el mercado, como anuncios importantes o cambios regulatorios.
En cuanto a los retornos acumulados, la media móvil también proporciona una perspectiva sobre la tendencia general. Al suavizar los datos, puedo identificar períodos de crecimiento sostenido y momentos de caída. La media móvil revela que, a pesar de la naturaleza volátil de los retornos diarios, hay fases en las que los retornos acumulados tienden a ser positivos y estables, lo que sugiere que, a largo plazo, Bitcoin ha tenido un desempeño sólido.
Cuando analizo las series de volatilidades y retornos acumulados después de retirar la tendencia, me doy cuenta de que ahora puedo centrarme en las fluctuaciones alrededor de la media. Este ajuste me permite observar más claramente los cambios estacionales o cíclicos que podrían haber estado ocultos por la tendencia general. Para las volatilidades, el gráfico muestra que hay oscilaciones regulares, sugiriendo que, a pesar de que la tendencia general podría ser estable, las volatilidades experimentan fluctuaciones significativas en respuesta a cambios en el mercado. Estas variaciones resaltan la naturaleza inherente de los activos volátiles como el Bitcoin.
En el caso de los retornos acumulados, tras retirar la tendencia, la serie muestra una variabilidad más notable, indicando que los retornos pueden tener patrones de comportamiento que no son evidentes al observar la serie original. Este ajuste revela momentos de aumento y disminución abrupta, lo que refuerza la idea de que el mercado puede experimentar episodios de extrema actividad o inactividad, independientemente de la tendencia general.
from statsmodels.tsa.stattools import adfuller
from statsmodels.stats.diagnostic import acorr_ljungbox
# Lista de variables (At y volatilidades)
variables = ['At', 'Volatilidad_7', 'Volatilidad_14', 'Volatilidad_21', 'Volatilidad_28']
# Aplicar la prueba de Dickey-Fuller y Ljung-Box para cada variable sin tendencia
for var in variables:
print(f'\nResultados para {var}:')
# Prueba de Dickey-Fuller en la serie sin tendencia
adf_result = adfuller(df[f'Detrended_{var}'].dropna())
print(f'Estadístico ADF: {adf_result[0]}')
print(f'Valor P: {adf_result[1]}')
# Prueba de Ljung-Box en la serie sin tendencia
ljungbox_result = acorr_ljungbox(df[f'Detrended_{var}'].dropna(), lags=[10], return_df=True)
print(ljungbox_result)
Resultados para At:
Estadístico ADF: -10.277894284748239
Valor P: 3.847531979754457e-18
lb_stat lb_pvalue
10 1532.556764 0.0
Resultados para Volatilidad_7:
Estadístico ADF: -18.78762591097733
Valor P: 2.0237103913257434e-30
lb_stat lb_pvalue
10 4448.710266 0.0
Resultados para Volatilidad_14:
Estadístico ADF: -17.568596257060346
Valor P: 4.06232103634086e-30
lb_stat lb_pvalue
10 3833.089277 0.0
Resultados para Volatilidad_21:
Estadístico ADF: -16.209875902476462
Valor P: 3.996632530040086e-29
lb_stat lb_pvalue
10 4017.864785 0.0
Resultados para Volatilidad_28:
Estadístico ADF: -16.39354305552277
Valor P: 2.679865846336599e-29
lb_stat lb_pvalue
10 4053.593697 0.0
Analisis de los resultados#
Al analizar los resultados de las pruebas ADF y Ljung-Box para las variables sin tendencia, obtengo información crucial sobre la estacionariedad y la autocorrelación de estas series.
La serie At presenta un estadístico ADF de -10.28 y un valor P de 3.85e-18, lo que indica que es estacionaria, ya que puedo rechazar la hipótesis nula de que contiene una raíz unitaria. Esto sugiere que la serie se mantiene en torno a una media constante.
En cuanto a las volatilidades, Volatilidad_7 tiene un estadístico ADF de -18.79 y un valor P de 2.02e-30; Volatilidad_14 muestra un estadístico de -17.57 con un valor P de 4.06e-30; Volatilidad_21 tiene un estadístico de -16.21 y un valor P de 3.99e-29; y Volatilidad_28 presenta un estadístico de -16.39 con un valor P de 2.68e-29. Todos estos resultados confirman que las series de volatilidad son también estacionarias.
Sin embargo, los resultados de la prueba de Ljung-Box, que indican estadísticos muy altos y valores P de 0.0 para todas las series, revelan una fuerte presencia de autocorrelación en los residuos. Esto sugiere que, a pesar de la estacionariedad, existen patrones en los datos que no han sido completamente capturados.
En resumen, aunque todas las series son estacionarias, la autocorrelación en los residuos sugiere que debo explorar modelos que puedan capturar estas relaciones temporales, como ARIMA o modelos de suavizado exponencial, para lograr una comprensión más completa de las dinámicas de las series.
Descomposicion para medias moviles de At y volatilidades, luego revisamos Ljung box#
import pandas as pd
import numpy as np
import matplotlib.pyplot as plt
from statsmodels.tsa.seasonal import seasonal_decompose
from statsmodels.stats.diagnostic import acorr_ljungbox
# Lista de variables (At y volatilidades)
variables = ['At', 'Volatilidad_7', 'Volatilidad_14', 'Volatilidad_21', 'Volatilidad_28']
# Aplicar media móvil de 7 días y realizar la descomposición para cada variable
for var in variables:
print(f'\nResultados para {var}:')
# Aplicar media móvil de 7 días para suavizar
df[f'{var}_MA7'] = df[var].rolling(window=7).mean()
# Graficar la serie original y la suavizada
plt.figure(figsize=(10, 6))
plt.plot(df['Date'], df[var], label=f'{var} Original', color='black')
plt.plot(df['Date'], df[f'{var}_MA7'], label=f'Media Móvil 7 días - {var}', color='blue')
plt.title(f'{var} Original vs. Media Móvil (7 días)')
plt.xlabel('Fecha')
plt.ylabel(var)
plt.legend()
plt.xticks(rotation=45)
plt.show()
# Descomposición de la serie temporal
decomposed = seasonal_decompose(df[f'{var}_MA7'].dropna(), model='additive', period=30)
# Graficar la descomposición
decomposed.plot()
plt.suptitle(f'Descomposición Aditiva - {var}', y=1.02)
plt.show()
# Obtener los residuos de la descomposición
residuos = decomposed.resid.dropna()
# Aplicar la prueba de Ljung-Box en los residuos
ljungbox_result = acorr_ljungbox(residuos, lags=[10], return_df=True)
# Mostrar los resultados de la prueba de Ljung-Box
print(ljungbox_result)
Resultados para At:
lb_stat lb_pvalue
10 14406.772058 0.0
Resultados para Volatilidad_7:
lb_stat lb_pvalue
10 15197.793646 0.0
Resultados para Volatilidad_14:
lb_stat lb_pvalue
10 16519.537761 0.0
Resultados para Volatilidad_21:
lb_stat lb_pvalue
10 17942.086344 0.0
Resultados para Volatilidad_28:
lb_stat lb_pvalue
10 16302.266458 0.0
Analisis de las medias moviles y volatilidades para el Bitocin#
Al realizar la descomposición de medias móviles para cada variable, obtengo una visión más clara de las tendencias, la estacionalidad y los componentes aleatorios de las series.
Al observar la descomposición de medias móviles de la serie At, identifico que la tendencia es creciente, lo que indica un aumento sostenido en los valores a lo largo del tiempo. A pesar de esta tendencia clara, siempre encontramos picos que reflejan eventos de alta volatilidad o cambios abruptos en el mercado. Esto sugiere que, aunque la serie se comporta de manera predecible en general, aún es sensible a perturbaciones externas.
En la descomposición de Volatilidad_7, se nota una tendencia a la baja en ciertos períodos, pero también se presentan picos de volatilidad, especialmente durante eventos de alta incertidumbre en el mercado. Estos picos resaltan la naturaleza intrínsecamente volátil de esta variable, sugiriendo que, aunque hay períodos de estabilidad, las fluctuaciones pueden ser significativas.
La serie Volatilidad_14 muestra una tendencia similar a la de Volatilidad_7, con una clara reducción de la volatilidad en algunos tramos y picos correspondientes a momentos de alta actividad. Esta descomposición revela que, aunque hay períodos de estabilidad, las fluctuaciones pueden ser pronunciadas en respuesta a eventos específicos del mercado.
Al analizar Volatilidad_21, la tendencia también es descendente, pero con más variaciones que las series anteriores. La descomposición muestra una respuesta más rápida a los cambios en el mercado, evidenciando que la serie podría ser más sensible a eventos externos, reflejando picos que indican respuestas rápidas a situaciones de volatilidad.
Finalmente, en la descomposición de Volatilidad_28, se puede observar una tendencia general menos pronunciada, lo que implica que esta serie podría estar capturando patrones más amplios y menos volátiles en el tiempo. Sin embargo, también presenta fluctuaciones que indican momentos de mayor incertidumbre, mostrando picos que reflejan reacciones a eventos macroeconómicos o cambios significativos en el entorno de las criptomonedas.
Modelos estadisticos#
Dividimos en conjunto de entrenamiento, validacion y prediccion#
import pandas as pd
import numpy as np
from statsmodels.graphics.tsaplots import plot_acf
import matplotlib.pyplot as plt
from statsmodels.api import qqplot
from statsmodels.tsa.stattools import acf
from statsmodels.stats.diagnostic import normal_ad
from scipy import stats
# Cargar el dataset
df = pd.read_csv(BHdata)
# Convertir la columna 'Date' a tipo datetime
df['Date'] = pd.to_datetime(df['Date'], format='%m/%d/%Y')
# Convertir las columnas 'Price', 'Open', 'High', 'Low' eliminando comas y convirtiendo a float
df['Price'] = pd.to_numeric(df['Price'].str.replace(',', ''), errors='coerce')
df['Open'] = pd.to_numeric(df['Open'].str.replace(',', ''), errors='coerce')
df['High'] = pd.to_numeric(df['High'].str.replace(',', ''), errors='coerce')
df['Low'] = pd.to_numeric(df['Low'].str.replace(',', ''), errors='coerce')
# Convertir la columna 'Vol.' eliminando comas, reemplazando 'K' por 'e3' y 'M' por 'e6', y luego convertir a numérico
df['Vol.'] = df['Vol.'].str.replace('K', 'e3').str.replace('M', 'e6').str.replace(',', '')
df['Vol.'] = pd.to_numeric(df['Vol.'], errors='coerce')
# Convertir la columna 'Change %' eliminando el símbolo '%' y convirtiendo a float
df['Change %'] = df['Change %'].str.replace('%', '').astype(float)
# Eliminar las filas con valores nulos en la columna 'Price'
df.dropna(subset=['Price'], inplace=True)
# Calcular el retorno diario Rt
df['Rt'] = (df['Price'] - df['Price'].shift(1)) / df['Price'].shift(1)
# Calcular el retorno acumulado diario At
df['At'] = df['Rt'].cumsum()
# Función para calcular la volatilidad usando ventanas móviles
def calcular_volatilidad(data, ventana):
"""
Esta función calcula la volatilidad (desviación estándar)
de los retornos diarios utilizando una ventana móvil.
"""
return data['Rt'].rolling(window=ventana).std()
# Calcular volatilidad para diferentes ventanas
ventanas = [7, 14, 21, 28]
for ventana in ventanas:
df[f'Volatilidad_{ventana}'] = calcular_volatilidad(df, ventana)
# Mostrar los primeros 10 registros con las nuevas columnas de volatilidad
print(df[['Date', 'At', 'Volatilidad_7', 'Volatilidad_14', 'Volatilidad_21', 'Volatilidad_28']].head(15))
# Dividir los datos en entrenamiento, validación y prueba (últimos 28 datos serán para validación)
train_size = len(df) - 28
test_size = 28
variables = ['Price', 'At', 'Volatilidad_7']
# Crear diccionarios para almacenar los conjuntos de entrenamiento y validación para cada variable
train_data = {}
validation_data = {}
for var in variables:
train_data[var] = df[var].iloc[:train_size].reset_index(drop=True) # Resetear los índices
validation_data[var] = df[var].iloc[-test_size:].reset_index(drop=True)
Date At Volatilidad_7 Volatilidad_14 Volatilidad_21 \
0 2024-03-24 NaN NaN NaN NaN
1 2024-03-23 -0.047225 NaN NaN NaN
2 2024-03-22 -0.051165 NaN NaN NaN
3 2024-03-21 -0.024226 NaN NaN NaN
4 2024-03-20 0.011652 NaN NaN NaN
5 2024-03-19 -0.073884 NaN NaN NaN
6 2024-03-18 0.015465 NaN NaN NaN
7 2024-03-17 0.027257 0.057142 NaN NaN
8 2024-03-16 -0.017734 0.056814 NaN NaN
9 2024-03-15 0.045797 0.060785 NaN NaN
10 2024-03-14 0.073492 0.060813 NaN NaN
11 2024-03-13 0.097009 0.060247 NaN NaN
12 2024-03-12 0.075165 0.046199 NaN NaN
13 2024-03-11 0.083964 0.035128 NaN NaN
14 2024-03-10 0.040492 0.040414 0.04756 NaN
Volatilidad_28
0 NaN
1 NaN
2 NaN
3 NaN
4 NaN
5 NaN
6 NaN
7 NaN
8 NaN
9 NaN
10 NaN
11 NaN
12 NaN
13 NaN
14 NaN
Simple Exponential Smoothing (Sin Librería)#
# Función para calcular la suavización exponencial simple (SES)
def SES(y, alpha):
"""
Realiza la Suavización Exponencial Simple (SES) para una serie temporal 'y' con un factor de suavización 'alpha'.
Retorna las predicciones suavizadas.
"""
y_pred = [y[0]] # Inicializamos la predicción con el primer valor de la serie
for t in range(1, len(y)):
y_hat = alpha * y[t-1] + (1 - alpha) * y_pred[t-1]
y_pred.append(y_hat)
return y_pred
# Parámetros
alphas = [0.5] # Factores de suavización que queremos probar
ventanas = [7, 14, 21, 28] # Ventanas móviles para cada predicción
variables = ['Price', 'Volatilidad_14', 'At']
# Almacenaremos los resultados en un diccionario
predicciones = {}
# Dividimos el conjunto de validación y entrenamiento
train_size = len(df) - 28
test_size = 28
# Para cada variable y cada ventana
for variable in variables:
predicciones[variable] = {}
# Tomamos el conjunto de entrenamiento para esa variable
train_series = df[variable].iloc[:train_size].reset_index(drop=True)
for ventana in ventanas:
# Inicializar diccionario para cada ventana
predicciones[variable][ventana] = {}
for alpha in alphas:
# Aplicar SES sobre la ventana de entrenamiento
y_train_pred = SES(train_series, alpha)
# Ahora realizamos predicciones para el conjunto de validación (últimos 28 datos)
val_series = df[variable].iloc[-test_size:].reset_index(drop=True)
val_predictions = []
# Usamos la última predicción de entrenamiento para empezar a predecir la validación
last_train_value = y_train_pred[-1]
for i in range(test_size):
# Predicción para el día siguiente usando SES
new_val_pred = alpha * val_series.iloc[i] + (1 - alpha) * last_train_value
val_predictions.append(new_val_pred)
# Actualizamos la última predicción para el siguiente paso
last_train_value = new_val_pred
# Guardar las predicciones para esta ventana y alpha
predicciones[variable][ventana][alpha] = val_predictions
# Imprimir ejemplo de predicciones para verificar
for variable in variables:
for ventana in ventanas:
print(f"Predicciones para {variable}, ventana de {ventana} días, alpha={alphas[0]}:")
print(predicciones[variable][ventana][alphas[0]][:10]) # Mostrar las primeras 10 predicciones
print("\n")
Predicciones para Price, ventana de 7 días, alpha=0.1:
[np.float64(0.10006349633511052), np.float64(0.10005714670159949), np.float64(0.10005143203143954), np.float64(0.10004628882829558), np.float64(0.10004165994546602), np.float64(0.10003749395091943), np.float64(0.1000337445558275), np.float64(0.10003037010024476), np.float64(0.1000273330902203), np.float64(0.10002459978119826)]
Predicciones para Price, ventana de 14 días, alpha=0.1:
[np.float64(0.10006349633511052), np.float64(0.10005714670159949), np.float64(0.10005143203143954), np.float64(0.10004628882829558), np.float64(0.10004165994546602), np.float64(0.10003749395091943), np.float64(0.1000337445558275), np.float64(0.10003037010024476), np.float64(0.1000273330902203), np.float64(0.10002459978119826)]
Predicciones para Price, ventana de 21 días, alpha=0.1:
[np.float64(0.10006349633511052), np.float64(0.10005714670159949), np.float64(0.10005143203143954), np.float64(0.10004628882829558), np.float64(0.10004165994546602), np.float64(0.10003749395091943), np.float64(0.1000337445558275), np.float64(0.10003037010024476), np.float64(0.1000273330902203), np.float64(0.10002459978119826)]
Predicciones para Price, ventana de 28 días, alpha=0.1:
[np.float64(0.10006349633511052), np.float64(0.10005714670159949), np.float64(0.10005143203143954), np.float64(0.10004628882829558), np.float64(0.10004165994546602), np.float64(0.10003749395091943), np.float64(0.1000337445558275), np.float64(0.10003037010024476), np.float64(0.1000273330902203), np.float64(0.10002459978119826)]
Predicciones para Volatilidad_14, ventana de 7 días, alpha=0.1:
[np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan)]
Predicciones para Volatilidad_14, ventana de 14 días, alpha=0.1:
[np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan)]
Predicciones para Volatilidad_14, ventana de 21 días, alpha=0.1:
[np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan)]
Predicciones para Volatilidad_14, ventana de 28 días, alpha=0.1:
[np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan)]
Predicciones para At, ventana de 7 días, alpha=0.1:
[np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan)]
Predicciones para At, ventana de 14 días, alpha=0.1:
[np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan)]
Predicciones para At, ventana de 21 días, alpha=0.1:
[np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan)]
Predicciones para At, ventana de 28 días, alpha=0.1:
[np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan), np.float64(nan)]
import numpy as np
import pandas as pd
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
# Función para calcular el MAPE
def MAPE(y_true, y_pred):
return np.mean(np.abs((y_true - y_pred) / y_true)) * 100
# Función para realizar predicciones con Simple Exponential Smoothing
def ses_predict(serie, alpha, test_size):
ses_pred = [serie.iloc[0]] # Usar el primer valor de la serie
for t in range(1, len(serie)):
pred = alpha * serie.iloc[t] + (1 - alpha) * ses_pred[-1]
ses_pred.append(pred)
pred_val = []
for t in range(test_size):
pred = alpha * df[variable].iloc[len(serie) + t] + (1 - alpha) * ses_pred[-1]
pred_val.append(pred)
return pred_val
# Función para evaluar una variable
def evaluar_variable(variable):
ventanas = [7, 14, 21, 28]
alphas = [0.5]
train_size = len(df) - 28
test_size = 28
resultados = []
# Evaluar el SES para la variable
for ventana in ventanas:
for alpha in alphas:
# Serie de tiempo de entrenamiento sin NaNs
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
# Verificar si hay suficientes datos para el entrenamiento
if len(train_series) < 1:
print(f"Skipping variable '{variable}' for ventana {ventana} and alpha {alpha} due to insufficient training data.")
continue
# Obtener las predicciones para el conjunto de validación
pred_val = ses_predict(train_series, alpha, test_size)
# Conjunto de validación real (últimos 28 valores de la serie) sin NaNs
val_series = df[variable].iloc[-test_size:].dropna().reset_index(drop=True)
# Verificar si hay suficientes datos para la validación
if len(val_series) < test_size:
print(f"Skipping variable '{variable}' for ventana {ventana} and alpha {alpha} due to insufficient validation data.")
continue
# Calcular las métricas
mae = mean_absolute_error(val_series, pred_val)
mse = mean_squared_error(val_series, pred_val)
rmse = np.sqrt(mse)
mape = MAPE(val_series, pred_val)
r2 = r2_score(val_series, pred_val)
# Guardar los resultados en una lista
resultados.append({
'Variable': variable,
'Ventana': ventana,
'Alpha': alpha,
'MAE': mae,
'MSE': mse,
'RMSE': rmse,
'MAPE': mape,
'R2': r2
})
return pd.DataFrame(resultados)
# Evaluar cada variable y combinar los resultados
resultados_totales = pd.concat([evaluar_variable('At'),
evaluar_variable('Price'),
evaluar_variable('Volatilidad_14')],
ignore_index=True)
# Mostrar la tabla con los resultados totales
print(resultados_totales)
Variable Ventana Alpha MAE MSE RMSE \
0 At 7 0.5 8.881784e-16 7.888609e-31 8.881784e-16
1 At 14 0.5 8.881784e-16 7.888609e-31 8.881784e-16
2 At 21 0.5 8.881784e-16 7.888609e-31 8.881784e-16
3 At 28 0.5 8.881784e-16 7.888609e-31 8.881784e-16
4 Price 7 0.5 2.211489e+00 4.890684e+00 2.211489e+00
5 Price 14 0.5 2.211489e+00 4.890684e+00 2.211489e+00
6 Price 21 0.5 2.211489e+00 4.890684e+00 2.211489e+00
7 Price 28 0.5 2.211489e+00 4.890684e+00 2.211489e+00
8 Volatilidad_14 7 0.5 2.161489e+00 4.672035e+00 2.161489e+00
9 Volatilidad_14 14 0.5 2.161489e+00 4.672035e+00 2.161489e+00
10 Volatilidad_14 21 0.5 2.161489e+00 4.672035e+00 2.161489e+00
11 Volatilidad_14 28 0.5 2.161489e+00 4.672035e+00 2.161489e+00
MAPE R2
0 2.054552e-14 0.000000e+00
1 2.054552e-14 0.000000e+00
2 2.054552e-14 0.000000e+00
3 2.054552e-14 0.000000e+00
4 2.211489e+03 -2.539388e+34
5 2.211489e+03 -2.539388e+34
6 2.211489e+03 -2.539388e+34
7 2.211489e+03 -2.539388e+34
8 inf 0.000000e+00
9 inf 0.000000e+00
10 inf 0.000000e+00
11 inf 0.000000e+00
Variable |
Ventana |
Alpha |
MAE |
MSE |
RMSE |
MAPE |
R2 |
|---|---|---|---|---|---|---|---|
At |
7 |
0.5 |
8.881784e-16 |
7.888609e-31 |
8.881784e-16 |
2.054552e-14 |
0.000000e+00 |
Price |
7 |
0.5 |
2.211489e+00 |
4.890684e+00 |
2.211489e+00 |
2.211489e+03 |
-2.539388e+34 |
Volatilidad_14 |
7 |
0.5 |
2.161489e+00 |
4.672035e+00 |
2.161489e+00 |
inf |
0.000000e+00 |
Al analizar los resultados, se observa que se han calculado diferentes métricas de error (MAE, MSE, RMSE, MAPE y R²) para las variables At, Price y Volatilidad_14 utilizando un método de suavizado exponencial con un parámetro 𝛼 α de 0.5. Sin embargo, es importante destacar que, dado que el suavizado exponencial es una técnica que se utiliza para hacer pronósticos a partir de una serie temporal, el concepto de “ventana” como tal no es aplicable en este contexto.
En el suavizado exponencial, el valor actual se calcula en función de una combinación ponderada del valor observado más reciente y la estimación anterior, lo que permite dar más peso a los datos más recientes. Por esta razón, no se puede establecer un número de ventanas como en otros métodos de suavizado, como las medias móviles, donde se especifica un tamaño de ventana para el cálculo de promedios.
En los resultados, para las variables At y Volatilidad_14, los errores de predicción son extremadamente bajos (en el orden de 1 0 − 16 10 −16 y 1 0 − 30 10 −30 ), lo que sugiere que el modelo se ajusta muy bien a los datos, mientras que para Price, los errores son significativamente mayores, indicando que puede haber más variabilidad en la serie o que el modelo no captura adecuadamente la dinámica de esta variable.
Además, el hecho de que el MAPE sea infinito para las series de volatilidad indica que hay valores en los que el error porcentual no puede calcularse adecuadamente, lo cual puede ser un indicativo de que los datos de entrada tienen características que dificultan el pronóstico preciso.
En resumen, la naturaleza del suavizado exponencial significa que no se puede aplicar el concepto de ventanas de la misma manera que en otros métodos, y los resultados reflejan el rendimiento del modelo en diferentes variables, mostrando un ajuste notablemente bueno para At y Volatilidad_14, mientras que Price presenta un desafío mayor.
Residuos del entrenamiento#
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
import seaborn as sns
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.stats.diagnostic import acorr_ljungbox
from statsmodels.stats.stattools import jarque_bera
# Función para calcular el MAPE
def MAPE(y_true, y_pred):
return np.mean(np.abs((y_true - y_pred) / y_true)) * 100
# Función para realizar predicciones con Simple Exponential Smoothing
def ses_predict(serie, alpha, test_size):
ses_pred = [serie.iloc[0]] # Usar el primer valor de la serie
for t in range(1, len(serie)):
pred = alpha * serie.iloc[t] + (1 - alpha) * ses_pred[-1]
ses_pred.append(pred)
pred_val = []
for t in range(test_size):
pred = alpha * serie.iloc[-1] + (1 - alpha) * ses_pred[-1] # Cambiado para usar el último valor de la serie
pred_val.append(pred)
return pred_val
# Función para evaluar la variable y analizar residuos
def evaluar_variable_con_residuos(variable):
ventanas = [7, 14, 21, 28]
alphas = [0.5]
train_size = len(df) - 28
test_size = 28
resultados = []
for ventana in ventanas:
for alpha in alphas:
# Serie de tiempo de entrenamiento sin NaNs
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
# Verificar que hay suficientes datos para entrenar
if len(train_series) < 1:
print(f"Skipping variable '{variable}' for ventana {ventana} and alpha {alpha} due to insufficient training data.")
continue
# Obtener las predicciones para el conjunto de validación
pred_val = ses_predict(train_series, alpha, test_size)
# Conjunto de validación real (últimos 28 valores de la serie) sin NaNs
val_series = df[variable].iloc[-test_size:].dropna().reset_index(drop=True)
# Calcular los residuos
residuos = train_series - train_series.mean()
# Calcular métricas
mae = mean_absolute_error(val_series, pred_val)
mse = mean_squared_error(val_series, pred_val)
rmse = np.sqrt(mse)
mape = MAPE(val_series, pred_val)
r2 = r2_score(val_series, pred_val)
# Pruebas de hipótesis
ljung_box_results = acorr_ljungbox(residuos, lags=[10], return_df=True)
ljung_box_pvalue = ljung_box_results['lb_pvalue'].values[0] if not ljung_box_results.empty else np.nan
jarque_bera_results = jarque_bera(residuos)
jarque_bera_stat = jarque_bera_results[0]
jarque_bera_pvalue = jarque_bera_results[1]
# Guardar resultados
resultados.append({
'Variable': variable,
'Ventana': ventana,
'MAPE': mape,
'MAE': mae,
'RMSE': rmse,
'MSE': mse,
'R2': r2,
'Ljung-Box (p-value)': ljung_box_pvalue,
'Jarque-Bera (p-value)': jarque_bera_pvalue
})
# Gráficos
plt.figure(figsize=(15, 5))
# Serie de residuos
plt.subplot(1, 3, 1)
plt.plot(residuos)
plt.title(f'Serie de residuos: {variable} (Ventana: {ventana})')
plt.xlabel('Tiempo')
plt.ylabel('Residuos')
# QQPlot
plt.subplot(1, 3, 2)
sns.histplot(residuos, kde=True)
plt.title('Histograma de residuos')
# ACF
plt.subplot(1, 3, 3)
from statsmodels.graphics.tsaplots import plot_acf
plot_acf(residuos, lags=30, ax=plt.gca())
plt.title('ACF de residuos')
plt.tight_layout()
plt.show()
return pd.DataFrame(resultados)
# Evaluar cada variable y combinar los resultados
resultados_totales = pd.concat([evaluar_variable_con_residuos('At'),
evaluar_variable_con_residuos('Price'),
evaluar_variable_con_residuos('Volatilidad_14')],
ignore_index=True)
# Mostrar la tabla con los resultados totales
print(resultados_totales)
Variable Ventana MAPE MAE RMSE \
0 At 7 2.054552e-14 8.881784e-16 8.881784e-16
1 At 14 2.054552e-14 8.881784e-16 8.881784e-16
2 At 21 2.054552e-14 8.881784e-16 8.881784e-16
3 At 28 2.054552e-14 8.881784e-16 8.881784e-16
4 Price 7 0.000000e+00 0.000000e+00 0.000000e+00
5 Price 14 0.000000e+00 0.000000e+00 0.000000e+00
6 Price 21 0.000000e+00 0.000000e+00 0.000000e+00
7 Price 28 0.000000e+00 0.000000e+00 0.000000e+00
8 Volatilidad_14 7 inf 2.318743e-19 2.318743e-19
9 Volatilidad_14 14 inf 2.318743e-19 2.318743e-19
10 Volatilidad_14 21 inf 2.318743e-19 2.318743e-19
11 Volatilidad_14 28 inf 2.318743e-19 2.318743e-19
MSE R2 Ljung-Box (p-value) Jarque-Bera (p-value)
0 7.888609e-31 0.0 0.0 1.968244e-63
1 7.888609e-31 0.0 0.0 1.968244e-63
2 7.888609e-31 0.0 0.0 1.968244e-63
3 7.888609e-31 0.0 0.0 1.968244e-63
4 0.000000e+00 1.0 0.0 0.000000e+00
5 0.000000e+00 1.0 0.0 0.000000e+00
6 0.000000e+00 1.0 0.0 0.000000e+00
7 0.000000e+00 1.0 0.0 0.000000e+00
8 5.376570e-38 0.0 0.0 0.000000e+00
9 5.376570e-38 0.0 0.0 0.000000e+00
10 5.376570e-38 0.0 0.0 0.000000e+00
11 5.376570e-38 0.0 0.0 0.000000e+00
A continuación se presenta la tabla de resultados utilizando suavizado exponencial simple. Se muestra solo una ventana de análisis debido a la naturaleza de este método.
Variable |
Ventana |
MAPE |
MAE |
RMSE |
MSE |
R² |
Ljung-Box (p-value) |
Jarque-Bera (p-value) |
|---|---|---|---|---|---|---|---|---|
At |
7 |
2.054552e-14 |
8.881784e-16 |
8.881784e-16 |
7.888609e-31 |
0.0 |
0.0 |
1.968244e-63 |
Price |
7 |
0.000000e+00 |
0.000000e+00 |
0.000000e+00 |
0.000000e+00 |
1.0 |
0.0 |
0.000000e+00 |
Volatilidad_14 |
7 |
inf |
2.318743e-19 |
2.318743e-19 |
5.376570e-38 |
0.0 |
0.0 |
0.000000e+00 |
Los resultados presentados en la tabla anterior reflejan el rendimiento de un modelo de suavizado exponencial simple, analizando específicamente los residuos generados por el modelo. Es importante tener en cuenta que estos residuos son la diferencia entre los valores observados y los valores predichos, y su análisis es crucial para evaluar la eficacia del modelo.
Para la variable “At”, observamos que el MAPE (Error Porcentual Absoluto Medio) es de aproximadamente 2.05e-14, lo que indica que los errores de predicción son muy pequeños en términos porcentuales, sugiriendo un buen ajuste del modelo a los datos. El MAE y el RMSE, ambos en el orden de 8.88e-16, son prácticamente cero, lo que sugiere que el modelo predice casi con exactitud los valores observados. Sin embargo, el valor del R² es 0.0, lo que implica que el modelo no explica la variabilidad de los datos, lo cual puede ser un indicativo de que el modelo está sobreajustado o que la serie temporal tiene características que no están siendo capturadas adecuadamente.
En cuanto a la variable “Price”, los errores son igualmente cero, lo que sugiere una predicción perfecta en este caso. Esto es inusual y podría indicar que el modelo está funcionando de manera óptima en este contexto o que los datos no presentan variabilidad en el precio durante el periodo analizado.
Para la variable “Volatilidad_14”, el MAPE muestra un valor infinito, lo que sugiere que hay problemas en la estimación de la predicción; esto puede deberse a que los valores observados son muy cercanos a cero, lo que genera un cálculo poco confiable. Sin embargo, los valores de MAE, RMSE y MSE son todos pequeños (en el orden de 2.32e-19 y 5.38e-38), lo que sugiere que el modelo tiene un bajo nivel de error en la predicción de la volatilidad, aunque esto debe ser interpretado con precaución dado el valor infinito del MAPE.
Los resultados de las pruebas de Ljung-Box y Jarque-Bera son significativos para evaluar la normalidad de los residuos. En este caso, un p-valor de 0.0 en la prueba de Ljung-Box indica que hay autocorrelación en los residuos, lo que puede sugerir que el modelo no está capturando todas las dinámicas de la serie temporal. Por otro lado, el p-valor extremadamente bajo en la prueba de Jarque-Bera (1.97e-63) indica que los residuos no siguen una distribución normal, lo que es una señal de advertencia sobre la validez del modelo.
El análisis de residuos del modelo de suavizado exponencial para las variables de retornos acumulados, precio y volatilidad en los cuatro horizontes temporales (7, 14, 21 y 28 días)#
En el caso de los retornos acumulados, la serie de residuos a lo largo del tiempo muestra fluctuaciones significativas, lo cual indica que estos residuos no son completamente aleatorios. Esto sugiere que el modelo no ha capturado toda la estructura subyacente en los datos de retornos acumulados. Además, la distribución de residuos no sigue una normalidad perfecta, presentando asimetrías y varias modas, lo que sugiere que los residuos pueden no estar distribuidos normalmente. Esta falta de normalidad podría limitar la efectividad del modelo en la predicción y ajuste de los datos. Por otro lado, el análisis de la función de autocorrelación de los residuos (ACF) revela valores altos y persistentes, lo cual indica una autocorrelación significativa en los residuos. En un modelo bien ajustado, se esperaría que los residuos no presentaran autocorrelación; por lo tanto, estos resultados sugieren que el modelo de suavizado exponencial podría beneficiarse de ajustes adicionales para capturar mejor las dependencias temporales presentes en los datos.
Para la variable de precio, el análisis de los residuos en el horizonte de 7 días evidencia ciertas limitaciones en el modelo. La serie de residuos muestra una alta volatilidad inicial, que luego disminuye y se estabiliza. Esto sugiere que el modelo no capturó completamente la variabilidad inicial en los precios, aunque los residuos tienden a estabilizarse después de los primeros valores. En cuanto a la distribución de residuos, el histograma revela una alta concentración de valores cerca de cero y una asimetría hacia la izquierda, con algunos valores extremos en ambos lados. Este patrón sugiere una desviación de la normalidad y la presencia de outliers, lo cual podría indicar que el modelo de suavizado exponencial no está capturando adecuadamente las variaciones bruscas en los datos de precios. Además, el ACF de residuos indica una autocorrelación significativa, lo que sugiere que persiste una dependencia en los datos que el modelo no ha logrado captar completamente. Estos patrones en los residuos de precio sugieren que el modelo de suavizado exponencial podría no ser el enfoque más adecuado para capturar la dinámica de esta variable en este horizonte de tiempo; un modelo alternativo, como ARIMA o GARCH, podría mejorar el ajuste al captar mejor tanto la autocorrelación como la volatilidad presentes en la serie de precios.
Finalmente, el análisis de residuos para la volatilidad revela más indicios de las limitaciones del modelo de suavizado exponencial. La serie de residuos presenta fluctuaciones constantes con picos esporádicos que aumentan hacia el final del periodo, lo cual indica que el modelo presenta dificultades para capturar completamente la variabilidad de la volatilidad, especialmente en los momentos de mayor incremento. Esto sugiere una posible subestimación de algunos valores extremos en la serie de volatilidad. La distribución de residuos también refleja un sesgo hacia la derecha, con una alta concentración de valores alrededor de cero y algunos valores extremos positivos. Este patrón indica que los residuos no siguen una distribución normal y que existen ciertos valores anómalos, lo cual podría sugerir que el modelo no está capturando adecuadamente todos los patrones presentes en los datos de volatilidad. Además, el ACF de residuos muestra una alta correlación positiva en los primeros lags, que disminuye lentamente, lo que indica una estructura de dependencia temporal que el modelo no ha capturado del todo. Esto podría limitar su capacidad para realizar predicciones precisas en el contexto de volatilidad.
Residuos de la prediccion#
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.stats.diagnostic import acorr_ljungbox
# Función para calcular el MAPE
def MAPE(y_true, y_pred):
return np.mean(np.abs((y_true - y_pred) / y_true)) * 100
# Función para realizar predicciones con Simple Exponential Smoothing
def ses_predict(serie, alpha, test_size):
ses_pred = [serie.iloc[0]] # Usar el primer valor de la serie
for t in range(1, len(serie)):
pred = alpha * serie.iloc[t] + (1 - alpha) * ses_pred[-1]
ses_pred.append(pred)
pred_val = []
for t in range(test_size):
pred = alpha * serie.iloc[-1] + (1 - alpha) * ses_pred[-1] # Cambiado para usar el último valor de la serie
pred_val.append(pred)
return pred_val
# Función para evaluar el modelo en el conjunto de test y analizar residuos
def evaluar_modelo_en_conjunto_test(variable, alpha, test_size):
train_size = len(df) - test_size
# Serie de tiempo de entrenamiento sin NaNs
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
# Verificar que hay suficientes datos para entrenar
if len(train_series) < 1:
print(f"Insufficient training data for variable '{variable}'.")
return None
# Obtener las predicciones para el conjunto de validación
pred_val = ses_predict(train_series, alpha, test_size)
# Conjunto de validación real (últimos test_size valores de la serie) sin NaNs
val_series = df[variable].iloc[-test_size:].dropna().reset_index(drop=True)
# Calcular los residuos
residuos = val_series - pred_val
# Calcular métricas
mae = mean_absolute_error(val_series, pred_val)
mse = mean_squared_error(val_series, pred_val)
rmse = np.sqrt(mse)
mape = MAPE(val_series, pred_val)
r2 = r2_score(val_series, pred_val)
# Prueba de Ljung-Box
ljung_box_results = acorr_ljungbox(residuos, lags=[10], return_df=True)
ljung_box_pvalue = ljung_box_results['lb_pvalue'].values[0] if not ljung_box_results.empty else np.nan
# Guardar resultados
return {
'Variable': variable,
'MAPE': mape,
'MAE': mae,
'RMSE': rmse,
'MSE': mse,
'R2': r2,
'Ljung-Box (p-value)': ljung_box_pvalue
}
# Variables y parámetros a evaluar
variables = ['At', 'Price', 'Volatilidad_14']
alpha = 0.5
test_size = 28
# Evaluar cada variable y almacenar los resultados
resultados = []
for variable in variables:
resultado = evaluar_modelo_en_conjunto_test(variable, alpha, test_size)
if resultado is not None:
resultados.append(resultado)
# Convertir los resultados en un DataFrame
resultados_df = pd.DataFrame(resultados)
# Mostrar la tabla con los resultados
print(resultados_df)
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\stattools.py:702: RuntimeWarning:
invalid value encountered in divide
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\stattools.py:702: RuntimeWarning:
invalid value encountered in divide
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\stattools.py:702: RuntimeWarning:
invalid value encountered in divide
Variable MAPE MAE RMSE MSE \
0 At 2.054552e-14 8.881784e-16 8.881784e-16 7.888609e-31
1 Price 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
2 Volatilidad_14 inf 2.318743e-19 2.318743e-19 5.376570e-38
R2 Ljung-Box (p-value)
0 0.0 NaN
1 1.0 NaN
2 0.0 NaN
Variable |
MAPE |
MAE |
RMSE |
MSE |
R² |
Ljung-Box (p-value) |
|---|---|---|---|---|---|---|
At |
2.054552e-14 |
8.881784e-16 |
8.881784e-16 |
7.888609e-31 |
0.0 |
NaN |
Price |
0.000000e+00 |
0.000000e+00 |
0.000000e+00 |
0.000000e+00 |
1.0 |
NaN |
Volatilidad_14 |
inf |
2.318743e-19 |
2.318743e-19 |
5.376570e-38 |
0.0 |
NaN |
Para la variable “At”, el MAPE es de aproximadamente 2.05e-14, lo que indica que los errores porcentuales son mínimos y sugiere un buen ajuste del modelo. Los valores de MAE y RMSE son extremadamente bajos (8.88e-16), lo que sugiere que las predicciones se acercan de manera precisa a los valores reales. Además, el MSE de 7.89e-31 refuerza la idea de un ajuste preciso. Sin embargo, el R² de 0.0 indica que el modelo no explica ninguna variabilidad de los datos, lo que puede ser preocupante y sugiere que el modelo puede no estar capturando adecuadamente las dinámicas subyacentes de la serie temporal.
En cuanto a la variable “Price”, todos los valores de MAPE, MAE, RMSE y MSE son cero, lo que sugiere que el modelo predice perfectamente los precios. Este resultado es atípico y podría implicar que el precio es constante a lo largo del tiempo en el conjunto de datos analizado, o que el modelo ha sido ajustado de manera perfecta a los datos sin capturar variabilidad. El R² de 1.0 refuerza la hipótesis anterior de que el modelo ha hecho una predicción exacta.
Para la variable “Volatilidad_14”, el MAPE muestra un valor infinito, lo que indica que la variabilidad de los valores observados es demasiado pequeña en comparación con los errores de predicción, sugiriendo que el modelo no es confiable para esta variable. Aunque los valores de MAE, RMSE y MSE son bajos (en el orden de 2.32e-19 y 5.38e-38), la interpretación se ve afectada por el MAPE infinito, que sugiere una falta de variabilidad en los datos de volatilidad. Además, el R² de 0.0 implica que el modelo no explica la variabilidad de la volatilidad observada, sugiriendo que se necesitan ajustes significativos o un enfoque diferente para esta variable.
Simple Exponential Smoothing (Usando statsmodels.tsa.holtwinters)#
import pandas as pd
import numpy as np
from statsmodels.tsa.holtwinters import SimpleExpSmoothing
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.stats.diagnostic import acorr_ljungbox
# Parámetros
alphas = [0.5] # Factores de suavización que queremos probar
ventanas = [7, 14, 21, 28] # Ventanas móviles para cada predicción
variables = ['Price', 'Volatilidad_14', 'At']
# Almacenaremos las predicciones
predicciones = {}
# Dividimos el conjunto de validación y entrenamiento
train_size = len(df) - 28
test_size = 28
# Para cada variable y cada ventana
for variable in variables:
predicciones[variable] = {}
# Tomamos el conjunto de entrenamiento para esa variable
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
for ventana in ventanas:
# Inicializar diccionario para cada ventana
predicciones[variable][ventana] = {}
for alpha in alphas:
# Aplicar SES usando SimpleExpSmoothing de statsmodels
model = SimpleExpSmoothing(train_series)
model_fit = model.fit(smoothing_level=alpha, optimized=False) # 'optimized=False' para usar el alpha específico
y_train_pred = model_fit.fittedvalues
# Ahora realizamos predicciones para el conjunto de validación (últimos test_size datos)
val_predictions = model_fit.forecast(test_size)
# Guardar las predicciones para esta ventana y alpha
predicciones[variable][ventana][alpha] = val_predictions
import numpy as np
import pandas as pd
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.tsa.holtwinters import SimpleExpSmoothing
# Función para calcular el MAPE
def MAPE(y_true, y_pred):
return np.mean(np.abs((y_true - y_pred) / y_true)) * 100
# Función para realizar predicciones con Simple Exponential Smoothing
def ses_predict(serie, alpha, test_size):
model = SimpleExpSmoothing(serie)
model_fit = model.fit(smoothing_level=alpha, optimized=False)
# Predicciones para el conjunto de validación
pred_val = model_fit.forecast(test_size)
return pred_val
# Función para evaluar una variable
def evaluar_variable(variable):
ventanas = [7, 14, 21, 28]
alphas = [0.5]
train_size = len(df) - 28
test_size = 28
resultados = []
# Evaluar el SES para la variable
for ventana in ventanas:
for alpha in alphas:
# Serie de tiempo de entrenamiento sin NaNs
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
# Verificar si hay suficientes datos para el entrenamiento
if len(train_series) < 1:
print(f"Skipping variable '{variable}' for ventana {ventana} and alpha {alpha} due to insufficient training data.")
continue
# Obtener las predicciones para el conjunto de validación
pred_val = ses_predict(train_series, alpha, test_size)
# Conjunto de validación real (últimos 28 valores de la serie) sin NaNs
val_series = df[variable].iloc[-test_size:].dropna().reset_index(drop=True)
# Verificar si hay suficientes datos para la validación
if len(val_series) < test_size:
print(f"Skipping variable '{variable}' for ventana {ventana} and alpha {alpha} due to insufficient validation data.")
continue
# Calcular las métricas
mae = mean_absolute_error(val_series, pred_val)
mse = mean_squared_error(val_series, pred_val)
rmse = np.sqrt(mse)
mape = MAPE(val_series, pred_val)
r2 = r2_score(val_series, pred_val)
# Guardar los resultados en una lista
resultados.append({
'Variable': variable,
'Ventana': ventana,
'Alpha': alpha,
'MAE': mae,
'MSE': mse,
'RMSE': rmse,
'MAPE': mape,
'R2': r2
})
return pd.DataFrame(resultados)
# Evaluar cada variable y combinar los resultados
resultados_totales = pd.concat([evaluar_variable('At'),
evaluar_variable('Price'),
evaluar_variable('Volatilidad_14')],
ignore_index=True)
# Mostrar la tabla con los resultados totales
print(resultados_totales)
Variable Ventana Alpha MAE MSE RMSE \
0 At 7 0.5 8.881784e-16 7.888609e-31 8.881784e-16
1 At 14 0.5 8.881784e-16 7.888609e-31 8.881784e-16
2 At 21 0.5 8.881784e-16 7.888609e-31 8.881784e-16
3 At 28 0.5 8.881784e-16 7.888609e-31 8.881784e-16
4 Price 7 0.5 0.000000e+00 0.000000e+00 0.000000e+00
5 Price 14 0.5 0.000000e+00 0.000000e+00 0.000000e+00
6 Price 21 0.5 0.000000e+00 0.000000e+00 0.000000e+00
7 Price 28 0.5 0.000000e+00 0.000000e+00 0.000000e+00
8 Volatilidad_14 7 0.5 4.637486e-19 2.150628e-37 4.637486e-19
9 Volatilidad_14 14 0.5 4.637486e-19 2.150628e-37 4.637486e-19
10 Volatilidad_14 21 0.5 4.637486e-19 2.150628e-37 4.637486e-19
11 Volatilidad_14 28 0.5 4.637486e-19 2.150628e-37 4.637486e-19
MAPE R2
0 NaN 0.0
1 NaN 0.0
2 NaN 0.0
3 NaN 0.0
4 NaN 1.0
5 NaN 1.0
6 NaN 1.0
7 NaN 1.0
8 NaN 0.0
9 NaN 0.0
10 NaN 0.0
11 NaN 0.0
A continuación se presenta la tabla de resultados utilizando suavizado exponencial simple, donde se muestra solo una ventana de análisis por la naturaleza del método.
Variable |
Ventana |
Alpha |
MAE |
MSE |
RMSE |
MAPE |
R2 |
|---|---|---|---|---|---|---|---|
At |
7 |
0.5 |
8.881784e-16 |
7.888609e-31 |
8.881784e-16 |
NaN |
0.0 |
Price |
7 |
0.5 |
0.000000e+00 |
0.000000e+00 |
0.000000e+00 |
NaN |
1.0 |
Volatilidad_14 |
7 |
0.5 |
4.637486e-19 |
2.150628e-37 |
4.637486e-19 |
NaN |
0.0 |
Los resultados obtenidos a partir del análisis utilizando suavizado exponencial simple se presentan en la tabla anterior, donde se incluye solo una ventana de análisis debido a la naturaleza de este método. Se observa que, para la variable “At” en una ventana de 7 días y con un valor de alpha de 0.5, el error absoluto medio (MAE) es de aproximadamente 8.88e-16, mientras que el error cuadrático medio (MSE) y la raíz del error cuadrático medio (RMSE) son ambos 7.89e-31 y 8.88e-16, respectivamente. Estos valores indican una precisión notable en la predicción, aunque el MAE y el RMSE son prácticamente cero, lo que sugiere que el modelo se ajusta muy bien a los datos.
En el caso de la variable “Price”, los resultados son igualmente satisfactorios, con un MAE, MSE y RMSE de cero. Esto sugiere que el modelo no presenta errores en las predicciones, lo que indica una capacidad excepcional para estimar el precio a partir de los datos proporcionados.
Para la variable “Volatilidad_14”, aunque se mantiene el mismo MAE que para “At”, con un valor de 4.64e-19, el MSE es extremadamente bajo, 2.15e-37, lo que implica una buena consistencia en las predicciones. Sin embargo, el valor de R² para esta variable es 0.0, lo que sugiere que el modelo no explica variabilidad en los datos observados.
En resumen, los resultados muestran un rendimiento destacado del modelo de suavizado exponencial simple para las variables “At” y “Price”, indicando que este enfoque es adecuado para el análisis de series temporales en este contexto. Sin embargo, la baja capacidad explicativa del modelo para la volatilidad señala la necesidad de considerar métodos adicionales o variables explicativas que puedan mejorar la precisión en futuras evaluaciones.
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
import seaborn as sns
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.stats.diagnostic import acorr_ljungbox
from statsmodels.stats.stattools import jarque_bera
from statsmodels.tsa.holtwinters import SimpleExpSmoothing
import statsmodels.api as sm
# Función para calcular el MAPE
def MAPE(y_true, y_pred):
return np.mean(np.abs((y_true - y_pred) / y_true)) * 100
# Función para realizar predicciones con Simple Exponential Smoothing
def ses_predict(serie, alpha, test_size):
model = SimpleExpSmoothing(serie)
model_fit = model.fit(smoothing_level=alpha, optimized=False)
pred_val = model_fit.forecast(test_size)
return pred_val, model_fit.resid # Retornar también los residuos
# Función para evaluar la variable y analizar residuos
def evaluar_variable_con_residuos(variable):
alphas = [0.5]
train_size = len(df) - 28
test_size = 28
resultados = []
for alpha in alphas:
# Serie de tiempo de entrenamiento sin NaNs
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
# Verificar que hay suficientes datos para entrenar
if len(train_series) < 1:
print(f"Skipping variable '{variable}' due to insufficient training data.")
continue
# Obtener las predicciones y residuos para el conjunto de validación
pred_val, residuos = ses_predict(train_series, alpha, test_size)
# Conjunto de validación real (últimos 28 valores de la serie) sin NaNs
val_series = df[variable].iloc[-test_size:].dropna().reset_index(drop=True)
# Calcular métricas
mae = mean_absolute_error(val_series, pred_val)
mse = mean_squared_error(val_series, pred_val)
rmse = np.sqrt(mse)
mape = MAPE(val_series, pred_val)
r2 = r2_score(val_series, pred_val)
# Pruebas de hipótesis
ljung_box_results = acorr_ljungbox(residuos, lags=[10], return_df=True)
ljung_box_pvalue = ljung_box_results['lb_pvalue'].values[0] if not ljung_box_results.empty else np.nan
jarque_bera_results = jarque_bera(residuos)
jarque_bera_stat = jarque_bera_results[0]
jarque_bera_pvalue = jarque_bera_results[1]
# Guardar resultados
resultados.append({
'Variable': variable,
'MAPE': mape,
'MAE': mae,
'RMSE': rmse,
'MSE': mse,
'R2': r2,
'Ljung-Box (p-value)': ljung_box_pvalue,
'Jarque-Bera (p-value)': jarque_bera_pvalue
})
# Gráficos
plt.figure(figsize=(15, 5))
# Serie de residuos
plt.subplot(1, 3, 1)
plt.plot(residuos)
plt.title(f'Serie de residuos: {variable}')
plt.xlabel('Tiempo')
plt.ylabel('Residuos')
# QQPlot
plt.subplot(1, 3, 2)
sm.qqplot(residuos, line='s', ax=plt.gca())
plt.title('QQPlot de residuos')
# ACF
plt.subplot(1, 3, 3)
from statsmodels.graphics.tsaplots import plot_acf
plot_acf(residuos, lags=30, ax=plt.gca())
plt.title('ACF de residuos')
plt.tight_layout()
plt.show()
return pd.DataFrame(resultados)
# Evaluar cada variable y combinar los resultados
resultados_totales = pd.concat([evaluar_variable_con_residuos('At'),
evaluar_variable_con_residuos('Price'),
evaluar_variable_con_residuos('Volatilidad_14')],
ignore_index=True)
# Mostrar la tabla con los resultados totales
print(resultados_totales)
Variable MAPE MAE RMSE MSE R2 \
0 At NaN 8.881784e-16 8.881784e-16 7.888609e-31 0.0
1 Price NaN 0.000000e+00 0.000000e+00 0.000000e+00 1.0
2 Volatilidad_14 NaN 4.637486e-19 4.637486e-19 2.150628e-37 0.0
Ljung-Box (p-value) Jarque-Bera (p-value)
0 6.386049e-299 0.0
1 0.000000e+00 0.0
2 0.000000e+00 0.0
El análisis de los residuos generados por el modelo de suavizado exponencial, implementado a través de la librería statsmodels, para las variables de retornos acumulados, precio y volatilidad en los cuatro horizontes temporales (7, 14, 21 y 28 días)#
Para la variable de retornos acumulados, la distribución de residuos en el tiempo muestra una estabilidad notable a lo largo del gráfico, con algunos picos ocasionales, pero manteniéndose generalmente entre 2.5 y -2.5. Este comportamiento indica que los residuos son relativamente estables, con solo algunos valores extremos que no afectan en gran medida la consistencia de los residuos. En el QQ plot, los residuos presentan una distribución normal en el centro, aunque se desvían levemente en las esquinas, lo que sugiere ligeras desviaciones de normalidad en los extremos. Finalmente, la prueba ACF muestra pocos residuos fuera de la banda de significancia y una estructura de autocorrelación en forma de espina descendente, lo cual sugiere que existe cierta dependencia temporal, aunque es mínima y en general parece un modelo razonablemente ajustado para esta variable.
En cuanto a la variable de precio, la distribución de residuos en el tiempo evidencia residuos grandes al inicio del gráfico, que se reducen considerablemente hacia el final. Esto sugiere que el modelo tiene dificultades para capturar la variabilidad inicial en los precios, aunque logra un ajuste más preciso en los valores recientes. El QQ plot revela una clara desviación de la normalidad, con puntos fuera de la línea central, especialmente en el centro de la distribución. Esta desviación indica que los residuos de precio no siguen una distribución normal y podrían estar afectados por factores externos o fluctuaciones significativas en los datos de entrada. La ACF de los residuos muestra algunos valores por fuera de la banda de significancia, con una estructura de espina descendente, lo que sugiere que, aunque hay algunas dependencias en los datos, la mayoría de los residuos son independientes en el tiempo. No obstante, los residuos iniciales grandes y la no normalidad indican que el modelo de suavizado exponencial podría no ser el mejor para capturar la dinámica de precio en esta variable.
Finalmente, en el caso de la volatilidad, la distribución de residuos es relativamente estable a lo largo del tiempo, aunque muestra un ligero crecimiento hacia el final del periodo. Esta estabilidad en los residuos, con solo un pequeño aumento final, sugiere que el modelo de suavizado exponencial se ajusta de manera aceptable, aunque puede estar subestimando ciertos valores hacia el final del horizonte temporal. El QQ plot de los residuos muestra una distribución normal en el centro, con desviaciones leves en las esquinas, indicando que, en general, los residuos siguen una distribución normal, aunque con algunos valores atípicos en los extremos. La ACF presenta pocos residuos fuera de la banda de significancia y una estructura en espina descendente, lo cual sugiere que, aunque hay pequeñas dependencias en los datos, el modelo captura adecuadamente la mayoría de las características de la volatilidad.
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.stats.diagnostic import acorr_ljungbox
from statsmodels.tsa.holtwinters import SimpleExpSmoothing
# Función para calcular el MAPE
def MAPE(y_true, y_pred):
return np.mean(np.abs((y_true - y_pred) / y_true)) * 100
# Función para realizar predicciones con Simple Exponential Smoothing
def ses_predict(serie, alpha, test_size):
model = SimpleExpSmoothing(serie)
model_fit = model.fit(smoothing_level=alpha, optimized=False)
pred_val = model_fit.forecast(test_size)
return pred_val, model_fit.resid # Retornar también los residuos
# Función para evaluar el modelo en el conjunto de prueba
def evaluar_modelo_en_test(variable):
alphas = [0.5]
train_size = len(df) - 28 # Tamaño del conjunto de entrenamiento
test_size = 28 # Tamaño del conjunto de prueba
resultados = []
for alpha in alphas:
# Serie de tiempo de entrenamiento sin NaNs
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
# Obtener las predicciones y residuos para el conjunto de prueba
pred_val, residuos = ses_predict(train_series, alpha, test_size)
# Conjunto de prueba real (últimos 28 valores de la serie) sin NaNs
val_series = df[variable].iloc[-test_size:].dropna().reset_index(drop=True)
# Calcular métricas
mae = mean_absolute_error(val_series, pred_val)
mse = mean_squared_error(val_series, pred_val)
rmse = np.sqrt(mse)
mape = MAPE(val_series, pred_val)
r2 = r2_score(val_series, pred_val)
# Pruebas de hipótesis
ljung_box_results = acorr_ljungbox(residuos, lags=[10], return_df=True)
ljung_box_pvalue = ljung_box_results['lb_pvalue'].values[0] if not ljung_box_results.empty else np.nan
# Guardar resultados
resultados.append({
'Variable': variable,
'MAPE': mape,
'MAE': mae,
'RMSE': rmse,
'MSE': mse,
'R2': r2,
'Ljung-Box (p-value)': ljung_box_pvalue
})
return pd.DataFrame(resultados)
# Evaluar cada variable y combinar los resultados
resultados_totales_test = pd.concat([evaluar_modelo_en_test('At'),
evaluar_modelo_en_test('Price'),
evaluar_modelo_en_test('Volatilidad_14')],
ignore_index=True)
# Mostrar la tabla con los resultados totales del conjunto de prueba
print(resultados_totales_test)
Variable MAPE MAE RMSE MSE R2 \
0 At NaN 8.881784e-16 8.881784e-16 7.888609e-31 0.0
1 Price NaN 0.000000e+00 0.000000e+00 0.000000e+00 1.0
2 Volatilidad_14 NaN 4.637486e-19 4.637486e-19 2.150628e-37 0.0
Ljung-Box (p-value)
0 6.386049e-299
1 0.000000e+00
2 0.000000e+00
Variable |
MAPE |
MAE |
RMSE |
MSE |
R² |
Ljung-Box (p-value) |
|---|---|---|---|---|---|---|
At |
NaN |
8.881784e-16 |
8.881784e-16 |
7.888609e-31 |
0.0 |
6.386049e-299 |
Price |
NaN |
0.000000e+00 |
0.000000e+00 |
0.000000e+00 |
1.0 |
0.000000e+00 |
Volatilidad_14 |
NaN |
4.637486e-19 |
4.637486e-19 |
2.150628e-37 |
0.0 |
0.000000e+00 |
Para la variable “At”, los valores de MAE (8.88e-16) y RMSE (8.88e-16) son extremadamente bajos, lo que sugiere que las predicciones están muy cerca de los valores reales. Sin embargo, el MAPE es NaN, lo que implica que no hay variabilidad en los datos para calcular este error porcentual. El MSE también es muy pequeño (7.89e-31), indicando que los errores de predicción son mínimos. El R² de 0.0 sugiere que el modelo no explica la variabilidad de la serie temporal, lo que podría ser un indicativo de que el modelo es demasiado simple para capturar las dinámicas de la serie. Además, el p-valor de Ljung-Box (6.39e-299) indica que los residuos son independientes, lo cual es un buen signo para la validez del modelo.
En el caso de “Price”, los resultados muestran una predicción perfecta, con MAE, RMSE y MSE todos igual a cero. Esto sugiere que el modelo ha logrado ajustarse completamente a los datos, probablemente porque el precio es constante a lo largo del tiempo. El R² de 1.0 refuerza esta idea, indicando que el modelo explica el 100% de la variabilidad. Sin embargo, este ajuste perfecto también puede ser un indicativo de sobreajuste, donde el modelo ha capturado ruidos en lugar de patrones útiles. El p-valor de Ljung-Box es 0, lo que implica que hay autocorrelación en los residuos, lo que podría ser un indicativo de que el modelo no ha capturado completamente la estructura temporal de los datos.
Para la variable “Volatilidad_14”, aunque los errores de MAE y RMSE son muy bajos (4.64e-19), el MAPE es NaN, lo que sugiere que, al igual que en el caso de “At”, no hay suficiente variabilidad para calcularlo. El MSE es también bajo (2.15e-37), indicando que los errores de predicción son pequeños. Sin embargo, el R² de 0.0 sugiere que el modelo no explica la variabilidad de esta variable, lo que puede señalar que se necesita un modelo más complejo o diferente para capturar adecuadamente las dinámicas de la volatilidad. El p-valor de Ljung-Box (0) sugiere que los residuos no son independientes, lo que puede ser motivo de preocupación y sugiere que el modelo podría mejorarse.
Doble suavizado exponencial sin libreria#
import pandas as pd
import numpy as np
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.stats.diagnostic import acorr_ljungbox
# Parámetros
alphas = [0.5] # Factores de suavización que queremos probar
ventanas = [7, 14, 21, 28] # Ventanas móviles para cada predicción
variables = ['Price', 'Volatilidad_14', 'At']
# Función para realizar Double Exponential Smoothing
def double_exponential_smoothing(series, alpha, beta, n_forecast):
level = series[0]
trend = series[1] - series[0] # Inicializar tendencia
result = [level + trend] # Primer pronóstico
# Lista para almacenar los valores de nivel y tendencia
levels = [level]
trends = [trend]
# Suavizado
for t in range(1, len(series)):
last_level = level
level = alpha * series[t] + (1 - alpha) * (last_level + trend)
trend = beta * (level - last_level) + (1 - beta) * trend
levels.append(level)
trends.append(trend)
# Pronóstico
if t >= len(series) - 1:
forecast = level + trend
result.append(forecast)
# Pronósticos para los próximos n períodos
forecasts = []
for i in range(n_forecast):
forecast = level + (i + 1) * trend
forecasts.append(forecast)
return forecasts, result, levels, trends
# Almacenaremos las predicciones
predicciones = {}
# Dividimos el conjunto de validación y entrenamiento
train_size = len(df) - 28
test_size = 28
# Para cada variable y cada ventana
for variable in variables:
predicciones[variable] = {}
# Tomamos el conjunto de entrenamiento para esa variable
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
for ventana in ventanas:
# Inicializar diccionario para cada ventana
predicciones[variable][ventana] = {}
for alpha in alphas:
# Definir un beta (puedes experimentar con este valor)
beta = 0.5
# Aplicar Double Exponential Smoothing
val_predictions, y_train_pred, levels, trends = double_exponential_smoothing(train_series.values, alpha, beta, test_size)
# Guardar las predicciones para esta ventana y alpha
predicciones[variable][ventana][alpha] = val_predictions
# Mostrar predicciones
for variable in predicciones:
for ventana in predicciones[variable]:
print(f"Predicciones para {variable} con ventana {ventana}: {predicciones[variable][ventana]}")
Predicciones para Price con ventana 7: {0.5: [np.float64(0.0999999999994), np.float64(0.09999999999986978), np.float64(0.10000000000033957), np.float64(0.10000000000080936), np.float64(0.10000000000127914), np.float64(0.10000000000174893), np.float64(0.10000000000221872), np.float64(0.1000000000026885), np.float64(0.10000000000315828), np.float64(0.10000000000362808), np.float64(0.10000000000409785), np.float64(0.10000000000456764), np.float64(0.10000000000503743), np.float64(0.10000000000550721), np.float64(0.100000000005977), np.float64(0.1000000000064468), np.float64(0.10000000000691657), np.float64(0.10000000000738636), np.float64(0.10000000000785615), np.float64(0.10000000000832593), np.float64(0.10000000000879572), np.float64(0.10000000000926551), np.float64(0.10000000000973529), np.float64(0.10000000001020508), np.float64(0.10000000001067487), np.float64(0.10000000001114465), np.float64(0.10000000001161444), np.float64(0.10000000001208423)]}
Predicciones para Price con ventana 14: {0.5: [np.float64(0.0999999999994), np.float64(0.09999999999986978), np.float64(0.10000000000033957), np.float64(0.10000000000080936), np.float64(0.10000000000127914), np.float64(0.10000000000174893), np.float64(0.10000000000221872), np.float64(0.1000000000026885), np.float64(0.10000000000315828), np.float64(0.10000000000362808), np.float64(0.10000000000409785), np.float64(0.10000000000456764), np.float64(0.10000000000503743), np.float64(0.10000000000550721), np.float64(0.100000000005977), np.float64(0.1000000000064468), np.float64(0.10000000000691657), np.float64(0.10000000000738636), np.float64(0.10000000000785615), np.float64(0.10000000000832593), np.float64(0.10000000000879572), np.float64(0.10000000000926551), np.float64(0.10000000000973529), np.float64(0.10000000001020508), np.float64(0.10000000001067487), np.float64(0.10000000001114465), np.float64(0.10000000001161444), np.float64(0.10000000001208423)]}
Predicciones para Price con ventana 21: {0.5: [np.float64(0.0999999999994), np.float64(0.09999999999986978), np.float64(0.10000000000033957), np.float64(0.10000000000080936), np.float64(0.10000000000127914), np.float64(0.10000000000174893), np.float64(0.10000000000221872), np.float64(0.1000000000026885), np.float64(0.10000000000315828), np.float64(0.10000000000362808), np.float64(0.10000000000409785), np.float64(0.10000000000456764), np.float64(0.10000000000503743), np.float64(0.10000000000550721), np.float64(0.100000000005977), np.float64(0.1000000000064468), np.float64(0.10000000000691657), np.float64(0.10000000000738636), np.float64(0.10000000000785615), np.float64(0.10000000000832593), np.float64(0.10000000000879572), np.float64(0.10000000000926551), np.float64(0.10000000000973529), np.float64(0.10000000001020508), np.float64(0.10000000001067487), np.float64(0.10000000001114465), np.float64(0.10000000001161444), np.float64(0.10000000001208423)]}
Predicciones para Price con ventana 28: {0.5: [np.float64(0.0999999999994), np.float64(0.09999999999986978), np.float64(0.10000000000033957), np.float64(0.10000000000080936), np.float64(0.10000000000127914), np.float64(0.10000000000174893), np.float64(0.10000000000221872), np.float64(0.1000000000026885), np.float64(0.10000000000315828), np.float64(0.10000000000362808), np.float64(0.10000000000409785), np.float64(0.10000000000456764), np.float64(0.10000000000503743), np.float64(0.10000000000550721), np.float64(0.100000000005977), np.float64(0.1000000000064468), np.float64(0.10000000000691657), np.float64(0.10000000000738636), np.float64(0.10000000000785615), np.float64(0.10000000000832593), np.float64(0.10000000000879572), np.float64(0.10000000000926551), np.float64(0.10000000000973529), np.float64(0.10000000001020508), np.float64(0.10000000001067487), np.float64(0.10000000001114465), np.float64(0.10000000001161444), np.float64(0.10000000001208423)]}
Predicciones para Volatilidad_14 con ventana 7: {0.5: [np.float64(-2.655992905380553e-10), np.float64(-2.758814620939934e-10), np.float64(-2.8616363364993157e-10), np.float64(-2.9644580520586977e-10), np.float64(-3.0672797676180796e-10), np.float64(-3.170101483177461e-10), np.float64(-3.2729231987368426e-10), np.float64(-3.3757449142962245e-10), np.float64(-3.4785666298556065e-10), np.float64(-3.581388345414988e-10), np.float64(-3.6842100609743694e-10), np.float64(-3.7870317765337514e-10), np.float64(-3.8898534920931334e-10), np.float64(-3.992675207652515e-10), np.float64(-4.0954969232118963e-10), np.float64(-4.1983186387712783e-10), np.float64(-4.3011403543306603e-10), np.float64(-4.4039620698900417e-10), np.float64(-4.506783785449423e-10), np.float64(-4.609605501008805e-10), np.float64(-4.712427216568187e-10), np.float64(-4.815248932127569e-10), np.float64(-4.918070647686951e-10), np.float64(-5.020892363246333e-10), np.float64(-5.123714078805714e-10), np.float64(-5.226535794365095e-10), np.float64(-5.329357509924477e-10), np.float64(-5.432179225483858e-10)]}
Predicciones para Volatilidad_14 con ventana 14: {0.5: [np.float64(-2.655992905380553e-10), np.float64(-2.758814620939934e-10), np.float64(-2.8616363364993157e-10), np.float64(-2.9644580520586977e-10), np.float64(-3.0672797676180796e-10), np.float64(-3.170101483177461e-10), np.float64(-3.2729231987368426e-10), np.float64(-3.3757449142962245e-10), np.float64(-3.4785666298556065e-10), np.float64(-3.581388345414988e-10), np.float64(-3.6842100609743694e-10), np.float64(-3.7870317765337514e-10), np.float64(-3.8898534920931334e-10), np.float64(-3.992675207652515e-10), np.float64(-4.0954969232118963e-10), np.float64(-4.1983186387712783e-10), np.float64(-4.3011403543306603e-10), np.float64(-4.4039620698900417e-10), np.float64(-4.506783785449423e-10), np.float64(-4.609605501008805e-10), np.float64(-4.712427216568187e-10), np.float64(-4.815248932127569e-10), np.float64(-4.918070647686951e-10), np.float64(-5.020892363246333e-10), np.float64(-5.123714078805714e-10), np.float64(-5.226535794365095e-10), np.float64(-5.329357509924477e-10), np.float64(-5.432179225483858e-10)]}
Predicciones para Volatilidad_14 con ventana 21: {0.5: [np.float64(-2.655992905380553e-10), np.float64(-2.758814620939934e-10), np.float64(-2.8616363364993157e-10), np.float64(-2.9644580520586977e-10), np.float64(-3.0672797676180796e-10), np.float64(-3.170101483177461e-10), np.float64(-3.2729231987368426e-10), np.float64(-3.3757449142962245e-10), np.float64(-3.4785666298556065e-10), np.float64(-3.581388345414988e-10), np.float64(-3.6842100609743694e-10), np.float64(-3.7870317765337514e-10), np.float64(-3.8898534920931334e-10), np.float64(-3.992675207652515e-10), np.float64(-4.0954969232118963e-10), np.float64(-4.1983186387712783e-10), np.float64(-4.3011403543306603e-10), np.float64(-4.4039620698900417e-10), np.float64(-4.506783785449423e-10), np.float64(-4.609605501008805e-10), np.float64(-4.712427216568187e-10), np.float64(-4.815248932127569e-10), np.float64(-4.918070647686951e-10), np.float64(-5.020892363246333e-10), np.float64(-5.123714078805714e-10), np.float64(-5.226535794365095e-10), np.float64(-5.329357509924477e-10), np.float64(-5.432179225483858e-10)]}
Predicciones para Volatilidad_14 con ventana 28: {0.5: [np.float64(-2.655992905380553e-10), np.float64(-2.758814620939934e-10), np.float64(-2.8616363364993157e-10), np.float64(-2.9644580520586977e-10), np.float64(-3.0672797676180796e-10), np.float64(-3.170101483177461e-10), np.float64(-3.2729231987368426e-10), np.float64(-3.3757449142962245e-10), np.float64(-3.4785666298556065e-10), np.float64(-3.581388345414988e-10), np.float64(-3.6842100609743694e-10), np.float64(-3.7870317765337514e-10), np.float64(-3.8898534920931334e-10), np.float64(-3.992675207652515e-10), np.float64(-4.0954969232118963e-10), np.float64(-4.1983186387712783e-10), np.float64(-4.3011403543306603e-10), np.float64(-4.4039620698900417e-10), np.float64(-4.506783785449423e-10), np.float64(-4.609605501008805e-10), np.float64(-4.712427216568187e-10), np.float64(-4.815248932127569e-10), np.float64(-4.918070647686951e-10), np.float64(-5.020892363246333e-10), np.float64(-5.123714078805714e-10), np.float64(-5.226535794365095e-10), np.float64(-5.329357509924477e-10), np.float64(-5.432179225483858e-10)]}
Predicciones para At con ventana 7: {0.5: [np.float64(-4.322978170723535), np.float64(-4.3229781707211155), np.float64(-4.322978170718696), np.float64(-4.322978170716277), np.float64(-4.322978170713857), np.float64(-4.322978170711438), np.float64(-4.3229781707090185), np.float64(-4.322978170706599), np.float64(-4.32297817070418), np.float64(-4.32297817070176), np.float64(-4.322978170699341), np.float64(-4.3229781706969215), np.float64(-4.322978170694502), np.float64(-4.322978170692083), np.float64(-4.322978170689663), np.float64(-4.322978170687244), np.float64(-4.3229781706848245), np.float64(-4.322978170682405), np.float64(-4.322978170679986), np.float64(-4.322978170677566), np.float64(-4.322978170675147), np.float64(-4.3229781706727275), np.float64(-4.322978170670308), np.float64(-4.322978170667889), np.float64(-4.322978170665469), np.float64(-4.32297817066305), np.float64(-4.3229781706606305), np.float64(-4.322978170658211)]}
Predicciones para At con ventana 14: {0.5: [np.float64(-4.322978170723535), np.float64(-4.3229781707211155), np.float64(-4.322978170718696), np.float64(-4.322978170716277), np.float64(-4.322978170713857), np.float64(-4.322978170711438), np.float64(-4.3229781707090185), np.float64(-4.322978170706599), np.float64(-4.32297817070418), np.float64(-4.32297817070176), np.float64(-4.322978170699341), np.float64(-4.3229781706969215), np.float64(-4.322978170694502), np.float64(-4.322978170692083), np.float64(-4.322978170689663), np.float64(-4.322978170687244), np.float64(-4.3229781706848245), np.float64(-4.322978170682405), np.float64(-4.322978170679986), np.float64(-4.322978170677566), np.float64(-4.322978170675147), np.float64(-4.3229781706727275), np.float64(-4.322978170670308), np.float64(-4.322978170667889), np.float64(-4.322978170665469), np.float64(-4.32297817066305), np.float64(-4.3229781706606305), np.float64(-4.322978170658211)]}
Predicciones para At con ventana 21: {0.5: [np.float64(-4.322978170723535), np.float64(-4.3229781707211155), np.float64(-4.322978170718696), np.float64(-4.322978170716277), np.float64(-4.322978170713857), np.float64(-4.322978170711438), np.float64(-4.3229781707090185), np.float64(-4.322978170706599), np.float64(-4.32297817070418), np.float64(-4.32297817070176), np.float64(-4.322978170699341), np.float64(-4.3229781706969215), np.float64(-4.322978170694502), np.float64(-4.322978170692083), np.float64(-4.322978170689663), np.float64(-4.322978170687244), np.float64(-4.3229781706848245), np.float64(-4.322978170682405), np.float64(-4.322978170679986), np.float64(-4.322978170677566), np.float64(-4.322978170675147), np.float64(-4.3229781706727275), np.float64(-4.322978170670308), np.float64(-4.322978170667889), np.float64(-4.322978170665469), np.float64(-4.32297817066305), np.float64(-4.3229781706606305), np.float64(-4.322978170658211)]}
Predicciones para At con ventana 28: {0.5: [np.float64(-4.322978170723535), np.float64(-4.3229781707211155), np.float64(-4.322978170718696), np.float64(-4.322978170716277), np.float64(-4.322978170713857), np.float64(-4.322978170711438), np.float64(-4.3229781707090185), np.float64(-4.322978170706599), np.float64(-4.32297817070418), np.float64(-4.32297817070176), np.float64(-4.322978170699341), np.float64(-4.3229781706969215), np.float64(-4.322978170694502), np.float64(-4.322978170692083), np.float64(-4.322978170689663), np.float64(-4.322978170687244), np.float64(-4.3229781706848245), np.float64(-4.322978170682405), np.float64(-4.322978170679986), np.float64(-4.322978170677566), np.float64(-4.322978170675147), np.float64(-4.3229781706727275), np.float64(-4.322978170670308), np.float64(-4.322978170667889), np.float64(-4.322978170665469), np.float64(-4.32297817066305), np.float64(-4.3229781706606305), np.float64(-4.322978170658211)]}
import numpy as np
import pandas as pd
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
# Función para calcular el MAPE
def MAPE(y_true, y_pred):
return np.mean(np.abs((y_true - y_pred) / y_true)) * 100
# Función para realizar predicciones con Double Exponential Smoothing
def double_exponential_smoothing(series, alpha, beta, n_forecast):
level = series[0]
trend = series[1] - series[0] # Inicializar tendencia
result = [level + trend] # Primer pronóstico
# Suavizado
for t in range(1, len(series)):
last_level = level
level = alpha * series[t] + (1 - alpha) * (last_level + trend)
trend = beta * (level - last_level) + (1 - beta) * trend
# Pronóstico
if t >= len(series) - 1:
forecast = level + trend
result.append(forecast)
# Pronósticos para los próximos n períodos
forecasts = []
for i in range(n_forecast):
forecast = level + (i + 1) * trend
forecasts.append(forecast)
return forecasts
# Función para evaluar una variable con D.E.S.
def evaluar_variable_de(variable):
ventanas = [7, 14, 21, 28]
alphas = [0.5]
betas = [0.5] # También puedes probar diferentes valores para beta
train_size = len(df) - 28
test_size = 28
resultados = []
for ventana in ventanas:
for alpha in alphas:
for beta in betas:
# Serie de tiempo de entrenamiento sin NaNs
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
# Verificar si hay suficientes datos para el entrenamiento
if len(train_series) < 1:
print(f"Skipping variable '{variable}' for ventana {ventana}, alpha {alpha}, and beta {beta} due to insufficient training data.")
continue
# Obtener las predicciones para el conjunto de validación
pred_val = double_exponential_smoothing(train_series.values, alpha, beta, test_size)
# Conjunto de validación real (últimos 28 valores de la serie) sin NaNs
val_series = df[variable].iloc[-test_size:].dropna().reset_index(drop=True)
# Verificar si hay suficientes datos para la validación
if len(val_series) < test_size:
print(f"Skipping variable '{variable}' for ventana {ventana}, alpha {alpha}, and beta {beta} due to insufficient validation data.")
continue
# Calcular las métricas
mae = mean_absolute_error(val_series, pred_val)
mse = mean_squared_error(val_series, pred_val)
rmse = np.sqrt(mse)
mape = MAPE(val_series, pred_val)
r2 = r2_score(val_series, pred_val)
# Guardar los resultados en una lista
resultados.append({
'Variable': variable,
'Ventana': ventana,
'Alpha': alpha,
'Beta': beta,
'MAE': mae,
'MSE': mse,
'RMSE': rmse,
'MAPE': mape,
'R2': r2
})
return pd.DataFrame(resultados)
# Evaluar cada variable y combinar los resultados
resultados_totales_de = pd.concat([evaluar_variable_de('At'),
evaluar_variable_de('Price'),
evaluar_variable_de('Volatilidad_14')],
ignore_index=True)
# Mostrar la tabla con los resultados totales
print(resultados_totales_de)
Variable Ventana Alpha Beta MAE MSE \
0 At 7 0.5 0.5 3.007271e-11 1.272532e-21
1 At 14 0.5 0.5 3.007271e-11 1.272532e-21
2 At 21 0.5 0.5 3.007271e-11 1.272532e-21
3 At 28 0.5 0.5 3.007271e-11 1.272532e-21
4 Price 7 0.5 0.5 5.794263e-12 4.737237e-23
5 Price 14 0.5 0.5 5.794263e-12 4.737237e-23
6 Price 21 0.5 0.5 5.794263e-12 4.737237e-23
7 Price 28 0.5 0.5 5.794263e-12 4.737237e-23
8 Volatilidad_14 7 0.5 0.5 4.044086e-10 1.704448e-19
9 Volatilidad_14 14 0.5 0.5 4.044086e-10 1.704448e-19
10 Volatilidad_14 21 0.5 0.5 4.044086e-10 1.704448e-19
11 Volatilidad_14 28 0.5 0.5 4.044086e-10 1.704448e-19
RMSE MAPE R2
0 3.567257e-11 6.956479e-10 0.000000e+00
1 3.567257e-11 6.956479e-10 0.000000e+00
2 3.567257e-11 6.956479e-10 0.000000e+00
3 3.567257e-11 6.956479e-10 0.000000e+00
4 6.882759e-12 5.794263e-09 -2.459714e+11
5 6.882759e-12 5.794263e-09 -2.459714e+11
6 6.882759e-12 5.794263e-09 -2.459714e+11
7 6.882759e-12 5.794263e-09 -2.459714e+11
8 4.128495e-10 inf 0.000000e+00
9 4.128495e-10 inf 0.000000e+00
10 4.128495e-10 inf 0.000000e+00
11 4.128495e-10 inf 0.000000e+00
Variable |
Ventana |
Alpha |
Beta |
MAE |
MSE |
RMSE |
MAPE |
R² |
|---|---|---|---|---|---|---|---|---|
At |
7 |
0.5 |
0.5 |
3.007271e-11 |
1.272532e-21 |
3.567257e-11 |
6.956479e-10 |
0.000000e+00 |
Price |
7 |
0.5 |
0.5 |
5.794263e-12 |
4.737237e-23 |
6.882759e-12 |
5.794263e-09 |
-2.459714e+11 |
Volatilidad_14 |
7 |
0.5 |
0.5 |
4.044086e-10 |
1.704448e-19 |
4.128495e-10 |
inf |
0.000000e+00 |
Explicación de la Selección de una Sola Ventana#
Se ha seleccionado una única ventana de 7 para presentar los resultados del modelo de doble suavizado exponencial. Esto se hace con el objetivo de simplificar el análisis y facilitar la interpretación de las métricas de rendimiento. Dado que el modelo de suavizado exponencial se basa en la idea de que las observaciones más recientes son más relevantes para hacer predicciones futuras, usar una sola ventana permite concentrarse en cómo el modelo responde a las condiciones más actuales de los datos. Además, al fijar los parámetros Alpha y Beta en 0.5, se mantiene la coherencia en la estimación de las predicciones a través de todas las variables, permitiendo una comparación directa de su rendimiento.
Para la variable “At”, se utilizaron ventanas de 7, 14, 21 y 28, todas con parámetros Alpha y Beta fijados en 0.5. Los valores de MAE (3.007271e-11) y MSE (1.272532e-21) son notablemente bajos, lo que sugiere que las predicciones son muy precisas y están muy cercanas a los valores reales. Esto se refleja también en el RMSE (3.567257e-11), que confirma la robustez de las predicciones en términos de error cuadrático medio. Sin embargo, el MAPE es también bajo (6.956479e-10) y, dado que se aproxima a cero, indica que el error relativo es casi imperceptible. A pesar de estas métricas positivas, el R² se mantiene en 0, lo que sugiere que el modelo no logra explicar la variabilidad de la serie temporal. Esto puede implicar que, aunque las predicciones son precisas, el modelo no está capturando la dinámica subyacente de los datos.
Para la variable “Price”, los resultados son igualmente prometedores, con MAE (5.794263e-12) y MSE (4.737237e-23) que indican un ajuste excepcionalmente preciso. Los valores de RMSE (6.882759e-12) y MAPE (5.794263e-09) son también bajos, pero el R² es -2.459714e+11, lo que sugiere una notable incapacidad del modelo para explicar la variabilidad en esta serie. Este comportamiento puede ser reflejo de que el precio es constante a lo largo del tiempo o de que se presenta un sobreajuste.
Finalmente, para la variable “Volatilidad_14”, se observan resultados con MAE (4.044086e-10) y MSE (1.704448e-19) también bajos, aunque el MAPE es infinito, lo que implica que hay problemas con los valores de referencia en la serie temporal que afectan este cálculo. Esto, combinado con un R² de 0, sugiere que el modelo no está capturando adecuadamente las dinámicas de la volatilidad.
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
import statsmodels.api as sm
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.stats.diagnostic import acorr_ljungbox
from statsmodels.stats.stattools import jarque_bera
# Función para calcular el MAPE
def MAPE(y_true, y_pred):
return np.mean(np.abs((y_true - y_pred) / y_true)) * 100
# Función para realizar predicciones con Suavizado Exponencial Doble
def double_exponential_smoothing(series, alpha, beta, n_forecast):
n = len(series)
result = np.zeros(n + n_forecast) # Almacena niveles y predicciones
level = series[0]
trend = series[1] - series[0] # Inicializar la tendencia
result[0] = level
for t in range(1, n):
last_level = level
level = alpha * series[t] + (1 - alpha) * (last_level + trend)
trend = beta * (level - last_level) + (1 - beta) * trend
result[t] = level
# Predicciones futuras
for i in range(n_forecast):
result[n + i] = level + (i + 1) * trend
return result[n:], result[:n] # Retornar solo las predicciones y los niveles
# Función para evaluar la variable y analizar residuos
def evaluar_variable_con_residuos_de(variable):
alphas = [0.5]
betas = [0.5] # Puedes probar diferentes valores para beta
train_size = len(df) - 28
test_size = 28
resultados = []
for alpha in alphas:
for beta in betas:
# Serie de tiempo de entrenamiento sin NaNs
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
# Verificar que hay suficientes datos para entrenar
if len(train_series) < 1:
print(f"Skipping variable '{variable}' due to insufficient training data.")
continue
# Obtener las predicciones y niveles para el conjunto de validación
pred_val, niveles = double_exponential_smoothing(train_series.values, alpha, beta, test_size)
# Conjunto de validación real (últimos 28 valores de la serie) sin NaNs
val_series = df[variable].iloc[-test_size:].dropna().reset_index(drop=True)
# Verificar que hay suficientes datos para la validación
if len(val_series) < test_size:
print(f"Skipping variable '{variable}' due to insufficient validation data.")
continue
# Calcular métricas
mae = mean_absolute_error(val_series, pred_val)
mse = mean_squared_error(val_series, pred_val)
rmse = np.sqrt(mse)
mape = MAPE(val_series, pred_val)
r2 = r2_score(val_series, pred_val)
# Calcular residuos
residuos = val_series.values - pred_val
# Verificar la longitud de residuos
if len(residuos) < 2: # Necesitamos al menos 2 puntos para hacer análisis
print(f"Not enough data points in residues for variable '{variable}'. Skipping analysis.")
continue
# Pruebas de hipótesis
ljung_box_results = acorr_ljungbox(residuos, lags=[10], return_df=True)
ljung_box_pvalue = ljung_box_results['lb_pvalue'].values[0] if not ljung_box_results.empty else np.nan
jarque_bera_results = jarque_bera(residuos)
jarque_bera_pvalue = jarque_bera_results[1]
# Guardar resultados
resultados.append({
'Variable': variable,
'MAPE': mape,
'MAE': mae,
'RMSE': rmse,
'MSE': mse,
'R2': r2,
'Ljung-Box (p-value)': ljung_box_pvalue,
'Jarque-Bera (p-value)': jarque_bera_pvalue
})
# Gráficos
plt.figure(figsize=(15, 5))
# Serie de residuos
plt.subplot(1, 3, 1)
plt.plot(residuos)
plt.title(f'Serie de residuos: {variable}')
plt.xlabel('Tiempo')
plt.ylabel('Residuos')
# QQPlot
plt.subplot(1, 3, 2)
sm.qqplot(residuos, line='s', ax=plt.gca())
plt.title('QQPlot de residuos')
# ACF solo si hay suficientes residuos
if len(residuos) >= 30:
plt.subplot(1, 3, 3)
from statsmodels.graphics.tsaplots import plot_acf
plot_acf(residuos, lags=30, ax=plt.gca())
plt.title('ACF de residuos')
else:
plt.subplot(1, 3, 3)
plt.text(0.5, 0.5, 'No hay suficientes datos para ACF',
horizontalalignment='center', verticalalignment='center')
plt.title('ACF de residuos')
plt.tight_layout()
plt.show()
return pd.DataFrame(resultados)
# Evaluar cada variable y combinar los resultados
resultados_totales_de = pd.concat([evaluar_variable_con_residuos_de('At'),
evaluar_variable_con_residuos_de('Price'),
evaluar_variable_con_residuos_de('Volatilidad_14')],
ignore_index=True)
# Mostrar la tabla con los resultados totales
print(resultados_totales_de)
Variable MAPE MAE RMSE MSE \
0 At 6.956479e-10 3.007271e-11 3.567257e-11 1.272532e-21
1 Price 5.794263e-09 5.794263e-12 6.882759e-12 4.737237e-23
2 Volatilidad_14 inf 4.044086e-10 4.128495e-10 1.704448e-19
R2 Ljung-Box (p-value) Jarque-Bera (p-value)
0 0.000000e+00 3.769957e-15 0.42986
1 -2.459714e+11 3.769963e-15 0.42986
2 0.000000e+00 3.769957e-15 0.42986
Variable |
MAPE |
MAE |
RMSE |
MSE |
R² |
Ljung-Box (p-value) |
Jarque-Bera (p-value) |
|---|---|---|---|---|---|---|---|
At |
6.96e-10 |
3.01e-11 |
3.57e-11 |
1.27e-21 |
0.0 |
3.77e-15 |
0.42986 |
Price |
5.79e-09 |
5.79e-12 |
6.88e-12 |
4.74e-23 |
-2.46e+11 |
3.77e-15 |
0.42986 |
Volatilidad_14 |
inf |
4.04e-10 |
4.13e-10 |
1.70e-19 |
0.0 |
3.77e-15 |
0.42986 |
Los valores de MAPE son extremadamente bajos para las variables At y Price, lo que indica un ajuste muy preciso en términos relativos. Sin embargo, el MAPE para Volatilidad_14 es infinito (inf), lo cual sugiere problemas en el cálculo de porcentaje de error, posiblemente debido a valores cercanos a cero en el denominador. En cuanto al MAE, los valores son pequeños para todas las variables, especialmente para Price, lo que indica que el modelo tiene un error absoluto bajo. Sin embargo, el valor algo elevado en Volatilidad_14 en comparación con At y Price sugiere que el modelo no se ajusta tan bien para la volatilidad.
El RMSE, que penaliza errores más grandes, es bajo en general, pero nuevamente es más alto en Volatilidad_14, lo que confirma que los errores son mayores en esta variable. En cuanto al MSE, este es extremadamente bajo para todas las variables, lo que indica un ajuste en general preciso, aunque presenta el mismo patrón que los errores anteriores, mostrando mayor imprecisión en Volatilidad_14.
Respecto al R², para At y Volatilidad_14 es cero, lo que indica que el modelo no explica la varianza de estas series. Para Price, el valor negativo (-2.46e+11) sugiere un modelo extremadamente ineficaz en su capacidad de predicción para esta serie, con un ajuste incluso peor que el de una línea base horizontal.
Analisis de los graficos#
La gráfica de residuos en el tiempo muestra una tendencia descendente clara en los residuos, lo cual indica que el modelo de doble suavizado exponencial no ha capturado adecuadamente el patrón de las series de tiempo, incluyendo las variables de precio, volatilidad y retornos acumulados. En todas estas series, los residuos deberían estar distribuidos alrededor de cero, sin ninguna tendencia visible, para que el modelo pueda considerarse adecuado.
En el gráfico QQ de residuos, se observa una alineación algo cercana a la línea de normalidad, pero en los extremos se presenta una desviación significativa en todas las series. Esto indica que los residuos no siguen perfectamente una distribución normal, lo cual sugiere que el modelo podría no estar capturando toda la variabilidad o podría presentar algún sesgo en la estimación de los valores para las series de tiempo analizadas.
La ausencia de datos en la ACF de residuos probablemente se deba a un número insuficiente de observaciones o a un problema en el cálculo de la ACF. Para que la serie de residuos sea considerada aleatoria, la ACF debería mostrar autocorrelaciones cercanas a cero en todos los rezagos. La falta de una ACF confiable dificulta la evaluación de independencia en los residuos, un aspecto importante para evaluar el ajuste del modelo.
En general, estos resultados sugieren que el modelo de doble suavizado exponencial podría no ser el más adecuado para las series de precio, volatilidad y retornos acumulados del bitcoin, ya que la tendencia en los residuos y la desviación en el QQ Plot indican una posible falta de ajuste. Podría ser conveniente explorar modelos más complejos, como ARIMA o modelos de volatilidad como GARCH, para captar mejor la naturaleza de estas series de tiempo financieras, que suelen presentar patrones de alta volatilidad y autocorrelación que un modelo de suavizado exponencial no alcanza a modelar adecuadamente.
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.tsa.holtwinters import Holt
from statsmodels.stats.diagnostic import acorr_ljungbox
# Función para calcular el MAPE
def MAPE(y_true, y_pred):
return np.mean(np.abs((y_true - y_pred) / y_true)) * 100
# Función para realizar predicciones con Double Exponential Smoothing
def des_predict(serie, alpha, beta, test_size):
model = Holt(serie)
model_fit = model.fit(smoothing_level=alpha, smoothing_slope=beta, optimized=False)
pred_val = model_fit.forecast(test_size)
return pred_val, model_fit.resid # Retornar también los residuos
# Función para evaluar el modelo en el conjunto de prueba
def evaluar_modelo_en_test(variable):
alphas = [0.5]
betas = [0.3] # Puedes ajustar este valor
train_size = len(df) - 28 # Tamaño del conjunto de entrenamiento
test_size = 28 # Tamaño del conjunto de prueba
resultados = []
for alpha in alphas:
for beta in betas:
# Serie de tiempo de entrenamiento sin NaNs
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
# Obtener las predicciones y residuos para el conjunto de prueba
pred_val, residuos = des_predict(train_series, alpha, beta, test_size)
# Conjunto de prueba real (últimos 28 valores de la serie) sin NaNs
val_series = df[variable].iloc[-test_size:].dropna().reset_index(drop=True)
# Calcular métricas
mae = mean_absolute_error(val_series, pred_val)
mse = mean_squared_error(val_series, pred_val)
rmse = np.sqrt(mse)
mape = MAPE(val_series, pred_val)
r2 = r2_score(val_series, pred_val)
# Pruebas de hipótesis
ljung_box_results = acorr_ljungbox(residuos, lags=[10], return_df=True)
ljung_box_pvalue = ljung_box_results['lb_pvalue'].values[0] if not ljung_box_results.empty else np.nan
# Guardar resultados
resultados.append({
'Variable': variable,
'MAPE': mape,
'MAE': mae,
'RMSE': rmse,
'MSE': mse,
'R2': r2,
'Ljung-Box (p-value)': ljung_box_pvalue
})
return pd.DataFrame(resultados)
# Evaluar cada variable y combinar los resultados
resultados_totales_test = pd.concat([evaluar_modelo_en_test('At'),
evaluar_modelo_en_test('Price'),
evaluar_modelo_en_test('Volatilidad_14')],
ignore_index=True)
# Mostrar la tabla con los resultados totales del conjunto de prueba
print(resultados_totales_test)
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\3045378745.py:15: FutureWarning:
the 'smoothing_slope' keyword is deprecated, use 'smoothing_trend' instead.
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\3045378745.py:15: FutureWarning:
the 'smoothing_slope' keyword is deprecated, use 'smoothing_trend' instead.
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\3045378745.py:15: FutureWarning:
the 'smoothing_slope' keyword is deprecated, use 'smoothing_trend' instead.
Variable MAPE MAE RMSE MSE \
0 At NaN 2.286879e-11 2.428319e-11 5.896734e-22
1 Price NaN 4.483255e-12 4.759638e-12 2.265415e-23
2 Volatilidad_14 NaN 2.715903e-09 3.040632e-09 9.245445e-18
R2 Ljung-Box (p-value)
0 0.000000e+00 1.531841e-226
1 -1.176271e+11 1.092221e-284
2 0.000000e+00 0.000000e+00
Variable |
MAPE |
MAE |
RMSE |
MSE |
R² |
Ljung-Box (p-value) |
|---|---|---|---|---|---|---|
At |
NaN |
2.286879e-11 |
2.428319e-11 |
5.896734e-22 |
0.000000e+00 |
1.531841e-226 |
Price |
NaN |
4.483255e-12 |
4.759638e-12 |
2.265415e-23 |
-1.176271e+11 |
1.092221e-284 |
Volatilidad_14 |
NaN |
2.715903e-09 |
3.040632e-09 |
9.245445e-18 |
0.000000e+00 |
0.000000e+00 |
Los resultados de los residuos de la predicción del modelo de suavizado exponencial doble muestran que el MAPE no está disponible (NaN) para todas las variables, lo cual sugiere que el cálculo del porcentaje de error relativo no es aplicable en este contexto. Esto podría deberse a valores cercanos a cero en el denominador o a una interpretación inadecuada al aplicarlo en el análisis de residuos. En cuanto al MAE, los valores son extremadamente bajos para las series At y Price, lo que indica un error absoluto mínimo en la predicción de estas variables. Sin embargo, la variable Volatilidad_14 presenta un MAE considerablemente mayor, lo cual revela que el modelo de suavizado exponencial doble tiene un rendimiento notablemente inferior al intentar predecir la volatilidad.
El RMSE, al igual que el MAE, es bajo para At y Price, lo que confirma que el modelo produce errores de magnitud pequeña en estas series. No obstante, el RMSE es significativamente más alto en Volatilidad_14, reforzando la idea de que los errores en la predicción de la volatilidad son mayores y que el modelo no logra capturar adecuadamente su comportamiento. Los valores de MSE siguen esta misma tendencia, con valores muy bajos para At y Price, reflejando un ajuste preciso en estas series, mientras que en Volatilidad_14 el MSE es considerablemente más alto, lo cual indica una mayor dispersión de los errores en esta serie.
El R² es cero para At y Volatilidad_14, lo que indica que el modelo no logra explicar ninguna de las variaciones en estas series. Para Price, el R² es negativo (-1.18e+11), lo que sugiere que el modelo es completamente ineficaz en la predicción de esta variable, obteniendo un ajuste peor que el de una línea base horizontal. Además, los valores extremadamente bajos del p-value en el test de Ljung-Box para todas las variables sugieren que los residuos presentan autocorrelación significativa, lo cual indica que no son independientes y que el modelo no ha capturado adecuadamente la estructura temporal de las series.
En conjunto, estos resultados indican que el modelo de suavizado exponencial doble no logra un ajuste adecuado, especialmente en la serie Volatilidad_14. La falta de independencia y el alto error en esta variable sugieren que el modelo subestima o no captura los patrones presentes, particularmente en datos más volátiles.
Double Exponential Smoothing (Usando statsmodels.tsa.holtwinters)#
import pandas as pd
import numpy as np
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.stats.diagnostic import acorr_ljungbox
from statsmodels.tsa.holtwinters import Holt
# Parámetros
alphas = [0.5] # Factores de suavización que queremos probar
ventanas = [7, 14, 21, 28] # Ventanas móviles para cada predicción
variables = ['Price', 'Volatilidad_14', 'At']
# Función para realizar Double Exponential Smoothing usando statsmodels
def double_exponential_smoothing(series, alpha, beta, n_forecast):
model = Holt(series)
model_fit = model.fit(smoothing_level=alpha, smoothing_slope=beta, optimized=False)
# Pronósticos para los próximos n períodos
forecasts = model_fit.forecast(n_forecast)
return forecasts, model_fit.fittedvalues # Solo devuelve pronósticos y valores ajustados
# Almacenaremos las predicciones
predicciones = {}
# Dividimos el conjunto de validación y entrenamiento
train_size = len(df) - 28
test_size = 28
# Para cada variable y cada ventana
for variable in variables:
predicciones[variable] = {}
# Tomamos el conjunto de entrenamiento para esa variable
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
for ventana in ventanas:
# Inicializar diccionario para cada ventana
predicciones[variable][ventana] = {}
for alpha in alphas:
# Definir un beta (puedes experimentar con este valor)
beta = 0.5
# Aplicar Double Exponential Smoothing
val_predictions, y_train_pred = double_exponential_smoothing(train_series.values, alpha, beta, test_size)
# Guardar las predicciones para esta ventana y alpha
predicciones[variable][ventana][alpha] = val_predictions
# Mostrar predicciones
for variable in predicciones:
for ventana in predicciones[variable]:
print(f"Predicciones para {variable} con ventana {ventana}: {predicciones[variable][ventana]}")
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:966: UserWarning:
Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:978: UserWarning:
Non-invertible starting MA parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:966: UserWarning:
Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:978: UserWarning:
Non-invertible starting MA parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:966: UserWarning:
Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:978: UserWarning:
Non-invertible starting MA parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:966: UserWarning:
Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:978: UserWarning:
Non-invertible starting MA parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:966: UserWarning:
Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:978: UserWarning:
Non-invertible starting MA parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:966: UserWarning:
Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:978: UserWarning:
Non-invertible starting MA parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:966: UserWarning:
Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:978: UserWarning:
Non-invertible starting MA parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:966: UserWarning:
Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:978: UserWarning:
Non-invertible starting MA parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:966: UserWarning:
Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:978: UserWarning:
Non-invertible starting MA parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:966: UserWarning:
Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:978: UserWarning:
Non-invertible starting MA parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:966: UserWarning:
Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:978: UserWarning:
Non-invertible starting MA parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:966: UserWarning:
Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\tsa\statespace\sarimax.py:978: UserWarning:
Non-invertible starting MA parameters found. Using zeros as starting parameters.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
Predicciones para Price con ventana 7: [np.float64(72572.82472370268), np.float64(70962.87102441574), np.float64(70180.57742488162), np.float64(70577.4622186235), np.float64(70598.07829052533), np.float64(70529.88802734358), np.float64(69765.60212929739), np.float64(69767.14627821947), np.float64(69673.12267727715), np.float64(69882.0236095976), np.float64(69932.7036312084), np.float64(69487.81940325872), np.float64(69273.84272644838), np.float64(69366.47728585098), np.float64(69477.85895750612), np.float64(69410.60733621173), np.float64(69299.16231247706), np.float64(69044.27359654884), np.float64(69021.2132675692), np.float64(69096.86562066393), np.float64(69073.02190646782), np.float64(69036.86448264269), np.float64(69003.62537522428), np.float64(69014.29828484202), np.float64(69056.69368099143), np.float64(69058.23130254625), np.float64(69063.95393017388), np.float64(68992.55837429232)]
MSE: 4851841337.202127, MAE: 69650.60242424314, R²: -2.5192200533264024e+43
Predicciones para Price con ventana 14: [np.float64(72572.82472370268), np.float64(70962.87102441574), np.float64(70180.57742488162), np.float64(70577.4622186235), np.float64(70598.07829052533), np.float64(70529.88802734358), np.float64(69765.60212929739), np.float64(69767.14627821947), np.float64(69673.12267727715), np.float64(69882.0236095976), np.float64(69932.7036312084), np.float64(69487.81940325872), np.float64(69273.84272644838), np.float64(69366.47728585098), np.float64(69477.85895750612), np.float64(69410.60733621173), np.float64(69299.16231247706), np.float64(69044.27359654884), np.float64(69021.2132675692), np.float64(69096.86562066393), np.float64(69073.02190646782), np.float64(69036.86448264269), np.float64(69003.62537522428), np.float64(69014.29828484202), np.float64(69056.69368099143), np.float64(69058.23130254625), np.float64(69063.95393017388), np.float64(68992.55837429232)]
MSE: 4851841337.202127, MAE: 69650.60242424314, R²: -2.5192200533264024e+43
Predicciones para Price con ventana 21: [np.float64(72572.82472370268), np.float64(70962.87102441574), np.float64(70180.57742488162), np.float64(70577.4622186235), np.float64(70598.07829052533), np.float64(70529.88802734358), np.float64(69765.60212929739), np.float64(69767.14627821947), np.float64(69673.12267727715), np.float64(69882.0236095976), np.float64(69932.7036312084), np.float64(69487.81940325872), np.float64(69273.84272644838), np.float64(69366.47728585098), np.float64(69477.85895750612), np.float64(69410.60733621173), np.float64(69299.16231247706), np.float64(69044.27359654884), np.float64(69021.2132675692), np.float64(69096.86562066393), np.float64(69073.02190646782), np.float64(69036.86448264269), np.float64(69003.62537522428), np.float64(69014.29828484202), np.float64(69056.69368099143), np.float64(69058.23130254625), np.float64(69063.95393017388), np.float64(68992.55837429232)]
MSE: 4851841337.202127, MAE: 69650.60242424314, R²: -2.5192200533264024e+43
Predicciones para Price con ventana 28: [np.float64(72572.82472370268), np.float64(70962.87102441574), np.float64(70180.57742488162), np.float64(70577.4622186235), np.float64(70598.07829052533), np.float64(70529.88802734358), np.float64(69765.60212929739), np.float64(69767.14627821947), np.float64(69673.12267727715), np.float64(69882.0236095976), np.float64(69932.7036312084), np.float64(69487.81940325872), np.float64(69273.84272644838), np.float64(69366.47728585098), np.float64(69477.85895750612), np.float64(69410.60733621173), np.float64(69299.16231247706), np.float64(69044.27359654884), np.float64(69021.2132675692), np.float64(69096.86562066393), np.float64(69073.02190646782), np.float64(69036.86448264269), np.float64(69003.62537522428), np.float64(69014.29828484202), np.float64(69056.69368099143), np.float64(69058.23130254625), np.float64(69063.95393017388), np.float64(68992.55837429232)]
MSE: 4851841337.202127, MAE: 69650.60242424314, R²: -2.5192200533264024e+43
Predicciones para Volatilidad_14 con ventana 7: [np.float64(0.03815179108758726), np.float64(0.037966539414794886), np.float64(0.03838090307659538), np.float64(0.03860503790874569), np.float64(0.03816473637907315), np.float64(0.03815048525747417), np.float64(0.03825393189562654), np.float64(0.03824741347796928), np.float64(0.03822607776655757), np.float64(0.03819934059330779), np.float64(0.038211676472402985), np.float64(0.03833218381350634), np.float64(0.038292914446658), np.float64(0.038273135504198384), np.float64(0.03828315968009288), np.float64(0.03827779266202768), np.float64(0.03827594164285306), np.float64(0.03828551727067711), np.float64(0.038273359529627), np.float64(0.0382742478131256), np.float64(0.03827753568760619), np.float64(0.038276679847233104), np.float64(0.03827636155359623), np.float64(0.038275069130926875), np.float64(0.03827634656130473), np.float64(0.03827620150506399), np.float64(0.03827758595859685), np.float64(0.038275861582451526)]
MSE: 0.0014639953023312916, MAE: 0.038262065268560005, R²: 0.0
Predicciones para Volatilidad_14 con ventana 14: [np.float64(0.03815179108758726), np.float64(0.037966539414794886), np.float64(0.03838090307659538), np.float64(0.03860503790874569), np.float64(0.03816473637907315), np.float64(0.03815048525747417), np.float64(0.03825393189562654), np.float64(0.03824741347796928), np.float64(0.03822607776655757), np.float64(0.03819934059330779), np.float64(0.038211676472402985), np.float64(0.03833218381350634), np.float64(0.038292914446658), np.float64(0.038273135504198384), np.float64(0.03828315968009288), np.float64(0.03827779266202768), np.float64(0.03827594164285306), np.float64(0.03828551727067711), np.float64(0.038273359529627), np.float64(0.0382742478131256), np.float64(0.03827753568760619), np.float64(0.038276679847233104), np.float64(0.03827636155359623), np.float64(0.038275069130926875), np.float64(0.03827634656130473), np.float64(0.03827620150506399), np.float64(0.03827758595859685), np.float64(0.038275861582451526)]
MSE: 0.0014639953023312916, MAE: 0.038262065268560005, R²: 0.0
Predicciones para Volatilidad_14 con ventana 21: [np.float64(0.03815179108758726), np.float64(0.037966539414794886), np.float64(0.03838090307659538), np.float64(0.03860503790874569), np.float64(0.03816473637907315), np.float64(0.03815048525747417), np.float64(0.03825393189562654), np.float64(0.03824741347796928), np.float64(0.03822607776655757), np.float64(0.03819934059330779), np.float64(0.038211676472402985), np.float64(0.03833218381350634), np.float64(0.038292914446658), np.float64(0.038273135504198384), np.float64(0.03828315968009288), np.float64(0.03827779266202768), np.float64(0.03827594164285306), np.float64(0.03828551727067711), np.float64(0.038273359529627), np.float64(0.0382742478131256), np.float64(0.03827753568760619), np.float64(0.038276679847233104), np.float64(0.03827636155359623), np.float64(0.038275069130926875), np.float64(0.03827634656130473), np.float64(0.03827620150506399), np.float64(0.03827758595859685), np.float64(0.038275861582451526)]
MSE: 0.0014639953023312916, MAE: 0.038262065268560005, R²: 0.0
Predicciones para Volatilidad_14 con ventana 28: [np.float64(0.03815179108758726), np.float64(0.037966539414794886), np.float64(0.03838090307659538), np.float64(0.03860503790874569), np.float64(0.03816473637907315), np.float64(0.03815048525747417), np.float64(0.03825393189562654), np.float64(0.03824741347796928), np.float64(0.03822607776655757), np.float64(0.03819934059330779), np.float64(0.038211676472402985), np.float64(0.03833218381350634), np.float64(0.038292914446658), np.float64(0.038273135504198384), np.float64(0.03828315968009288), np.float64(0.03827779266202768), np.float64(0.03827594164285306), np.float64(0.03828551727067711), np.float64(0.038273359529627), np.float64(0.0382742478131256), np.float64(0.03827753568760619), np.float64(0.038276679847233104), np.float64(0.03827636155359623), np.float64(0.038275069130926875), np.float64(0.03827634656130473), np.float64(0.03827620150506399), np.float64(0.03827758595859685), np.float64(0.038275861582451526)]
MSE: 0.0014639953023312916, MAE: 0.038262065268560005, R²: 0.0
Predicciones para At con ventana 7: [np.float64(0.04723382325738659), np.float64(0.02545030900326856), np.float64(0.022848817952236214), np.float64(0.04012766486861653), np.float64(0.038231434124326), np.float64(0.029019413980323257), np.float64(0.04168675610051997), np.float64(0.024846790429878137), np.float64(0.024927636316099233), np.float64(0.027156239795189097), np.float64(0.023799017736755256), np.float64(0.023770129321966958), np.float64(0.02456212363440725), np.float64(0.027211496309687326), np.float64(0.02409643138043594), np.float64(0.026718311201794825), np.float64(0.026161975378552846), np.float64(0.02697435337041726), np.float64(0.026161810650191478), np.float64(0.026910210082171024), np.float64(0.026762678900128543), np.float64(0.026653314414446544), np.float64(0.026600038444436938), np.float64(0.02659566715562109), np.float64(0.026351266415452063), np.float64(0.026351271198588936), np.float64(0.02630954749806174), np.float64(0.026330042410067866)]
MSE: 18.932862807403723, MAE: 4.351187048268252, R²: 0.0
Predicciones para At con ventana 14: [np.float64(0.04723382325738659), np.float64(0.02545030900326856), np.float64(0.022848817952236214), np.float64(0.04012766486861653), np.float64(0.038231434124326), np.float64(0.029019413980323257), np.float64(0.04168675610051997), np.float64(0.024846790429878137), np.float64(0.024927636316099233), np.float64(0.027156239795189097), np.float64(0.023799017736755256), np.float64(0.023770129321966958), np.float64(0.02456212363440725), np.float64(0.027211496309687326), np.float64(0.02409643138043594), np.float64(0.026718311201794825), np.float64(0.026161975378552846), np.float64(0.02697435337041726), np.float64(0.026161810650191478), np.float64(0.026910210082171024), np.float64(0.026762678900128543), np.float64(0.026653314414446544), np.float64(0.026600038444436938), np.float64(0.02659566715562109), np.float64(0.026351266415452063), np.float64(0.026351271198588936), np.float64(0.02630954749806174), np.float64(0.026330042410067866)]
MSE: 18.932862807403723, MAE: 4.351187048268252, R²: 0.0
Predicciones para At con ventana 21: [np.float64(0.04723382325738659), np.float64(0.02545030900326856), np.float64(0.022848817952236214), np.float64(0.04012766486861653), np.float64(0.038231434124326), np.float64(0.029019413980323257), np.float64(0.04168675610051997), np.float64(0.024846790429878137), np.float64(0.024927636316099233), np.float64(0.027156239795189097), np.float64(0.023799017736755256), np.float64(0.023770129321966958), np.float64(0.02456212363440725), np.float64(0.027211496309687326), np.float64(0.02409643138043594), np.float64(0.026718311201794825), np.float64(0.026161975378552846), np.float64(0.02697435337041726), np.float64(0.026161810650191478), np.float64(0.026910210082171024), np.float64(0.026762678900128543), np.float64(0.026653314414446544), np.float64(0.026600038444436938), np.float64(0.02659566715562109), np.float64(0.026351266415452063), np.float64(0.026351271198588936), np.float64(0.02630954749806174), np.float64(0.026330042410067866)]
MSE: 18.932862807403723, MAE: 4.351187048268252, R²: 0.0
Predicciones para At con ventana 28: [np.float64(0.04723382325738659), np.float64(0.02545030900326856), np.float64(0.022848817952236214), np.float64(0.04012766486861653), np.float64(0.038231434124326), np.float64(0.029019413980323257), np.float64(0.04168675610051997), np.float64(0.024846790429878137), np.float64(0.024927636316099233), np.float64(0.027156239795189097), np.float64(0.023799017736755256), np.float64(0.023770129321966958), np.float64(0.02456212363440725), np.float64(0.027211496309687326), np.float64(0.02409643138043594), np.float64(0.026718311201794825), np.float64(0.026161975378552846), np.float64(0.02697435337041726), np.float64(0.026161810650191478), np.float64(0.026910210082171024), np.float64(0.026762678900128543), np.float64(0.026653314414446544), np.float64(0.026600038444436938), np.float64(0.02659566715562109), np.float64(0.026351266415452063), np.float64(0.026351271198588936), np.float64(0.02630954749806174), np.float64(0.026330042410067866)]
MSE: 18.932862807403723, MAE: 4.351187048268252, R²: 0.0
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\statsmodels\base\model.py:607: ConvergenceWarning:
Maximum Likelihood optimization failed to converge. Check mle_retvals
import numpy as np
import pandas as pd
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.tsa.holtwinters import Holt
# Función para calcular el MAPE
def MAPE(y_true, y_pred):
return np.mean(np.abs((y_true - y_pred) / y_true)) * 100
# Función para realizar predicciones con Double Exponential Smoothing utilizando statsmodels
def double_exponential_smoothing(series, alpha, beta, n_forecast):
model = Holt(series)
model_fit = model.fit(smoothing_level=alpha, smoothing_slope=beta, optimized=False)
# Pronósticos para los próximos n períodos
forecasts = model_fit.forecast(n_forecast)
return forecasts
# Función para evaluar una variable con D.E.S.
def evaluar_variable_de(variable):
ventanas = [7, 14, 21, 28]
alphas = [0.5]
betas = [0.5] # También puedes probar diferentes valores para beta
train_size = len(df) - 28
test_size = 28
resultados = []
for ventana in ventanas:
for alpha in alphas:
for beta in betas:
# Serie de tiempo de entrenamiento sin NaNs
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
# Verificar si hay suficientes datos para el entrenamiento
if len(train_series) < 1:
print(f"Skipping variable '{variable}' for ventana {ventana}, alpha {alpha}, and beta {beta} due to insufficient training data.")
continue
# Obtener las predicciones para el conjunto de validación
pred_val = double_exponential_smoothing(train_series.values, alpha, beta, test_size)
# Conjunto de validación real (últimos 28 valores de la serie) sin NaNs
val_series = df[variable].iloc[-test_size:].dropna().reset_index(drop=True)
# Verificar si hay suficientes datos para la validación
if len(val_series) < test_size:
print(f"Skipping variable '{variable}' for ventana {ventana}, alpha {alpha}, and beta {beta} due to insufficient validation data.")
continue
# Calcular las métricas
mae = mean_absolute_error(val_series, pred_val)
mse = mean_squared_error(val_series, pred_val)
rmse = np.sqrt(mse)
mape = MAPE(val_series, pred_val)
r2 = r2_score(val_series, pred_val)
# Guardar los resultados en una lista
resultados.append({
'Variable': variable,
'Ventana': ventana,
'Alpha': alpha,
'Beta': beta,
'MAE': mae,
'MSE': mse,
'RMSE': rmse,
'MAPE': mape,
'R2': r2
})
return pd.DataFrame(resultados)
# Evaluar cada variable y combinar los resultados
resultados_totales_de = pd.concat([evaluar_variable_de('At'),
evaluar_variable_de('Price'),
evaluar_variable_de('Volatilidad_14')],
ignore_index=True)
# Mostrar la tabla con los resultados totales
print(resultados_totales_de)
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\935398304.py:13: FutureWarning:
the 'smoothing_slope' keyword is deprecated, use 'smoothing_trend' instead.
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\935398304.py:13: FutureWarning:
the 'smoothing_slope' keyword is deprecated, use 'smoothing_trend' instead.
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\935398304.py:13: FutureWarning:
the 'smoothing_slope' keyword is deprecated, use 'smoothing_trend' instead.
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\935398304.py:13: FutureWarning:
the 'smoothing_slope' keyword is deprecated, use 'smoothing_trend' instead.
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\935398304.py:13: FutureWarning:
the 'smoothing_slope' keyword is deprecated, use 'smoothing_trend' instead.
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\935398304.py:13: FutureWarning:
the 'smoothing_slope' keyword is deprecated, use 'smoothing_trend' instead.
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\935398304.py:13: FutureWarning:
the 'smoothing_slope' keyword is deprecated, use 'smoothing_trend' instead.
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\935398304.py:13: FutureWarning:
the 'smoothing_slope' keyword is deprecated, use 'smoothing_trend' instead.
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\935398304.py:13: FutureWarning:
the 'smoothing_slope' keyword is deprecated, use 'smoothing_trend' instead.
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\935398304.py:13: FutureWarning:
the 'smoothing_slope' keyword is deprecated, use 'smoothing_trend' instead.
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\935398304.py:13: FutureWarning:
the 'smoothing_slope' keyword is deprecated, use 'smoothing_trend' instead.
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\935398304.py:13: FutureWarning:
the 'smoothing_slope' keyword is deprecated, use 'smoothing_trend' instead.
Variable Ventana Alpha Beta MAE MSE \
0 At 7 0.5 0.5 3.007271e-11 1.272532e-21
1 At 14 0.5 0.5 3.007271e-11 1.272532e-21
2 At 21 0.5 0.5 3.007271e-11 1.272532e-21
3 At 28 0.5 0.5 3.007271e-11 1.272532e-21
4 Price 7 0.5 0.5 5.794263e-12 4.737237e-23
5 Price 14 0.5 0.5 5.794263e-12 4.737237e-23
6 Price 21 0.5 0.5 5.794263e-12 4.737237e-23
7 Price 28 0.5 0.5 5.794263e-12 4.737237e-23
8 Volatilidad_14 7 0.5 0.5 4.044086e-10 1.704448e-19
9 Volatilidad_14 14 0.5 0.5 4.044086e-10 1.704448e-19
10 Volatilidad_14 21 0.5 0.5 4.044086e-10 1.704448e-19
11 Volatilidad_14 28 0.5 0.5 4.044086e-10 1.704448e-19
RMSE MAPE R2
0 3.567257e-11 6.956479e-10 0.000000e+00
1 3.567257e-11 6.956479e-10 0.000000e+00
2 3.567257e-11 6.956479e-10 0.000000e+00
3 3.567257e-11 6.956479e-10 0.000000e+00
4 6.882759e-12 5.794263e-09 -2.459714e+11
5 6.882759e-12 5.794263e-09 -2.459714e+11
6 6.882759e-12 5.794263e-09 -2.459714e+11
7 6.882759e-12 5.794263e-09 -2.459714e+11
8 4.128495e-10 inf 0.000000e+00
9 4.128495e-10 inf 0.000000e+00
10 4.128495e-10 inf 0.000000e+00
11 4.128495e-10 inf 0.000000e+00
Variable |
Ventana |
Alpha |
Beta |
MAE |
MSE |
RMSE |
MAPE |
R2 |
|---|---|---|---|---|---|---|---|---|
At |
7 |
0.5 |
0.5 |
3.007271e-11 |
1.272532e-21 |
3.567257e-11 |
6.956479e-10 |
0.000000e+00 |
Price |
7 |
0.5 |
0.5 |
5.794263e-12 |
4.737237e-23 |
6.882759e-12 |
5.794263e-09 |
-2.459714e+11 |
Volatilidad_14 |
7 |
0.5 |
0.5 |
4.044086e-10 |
1.704448e-19 |
4.128495e-10 |
inf |
0.000000e+00 |
En términos de Error Medio Absoluto (MAE), los valores son notablemente bajos para las tres variables. La serie de At presenta un MAE de 3.007271 × 1 0 − 11 3.007271×10 −11 , mientras que el Precio muestra un MAE de 5.794263 × 1 0 − 12 5.794263×10 −12 . Esto indica que el modelo se ajusta mejor a la serie de precio, lo que sugiere un comportamiento más predecible a corto plazo. Por otro lado, la Volatilidad_14 tiene un MAE de 4.044086 × 1 0 − 10 4.044086×10 −10 , lo que indica que esta serie es más difícil de predecir, posiblemente debido a su naturaleza más variable y susceptible a cambios bruscos.
El Error Cuadrático Medio (MSE) también es bajo en general, con un MSE de 1.272532 × 1 0 − 21 1.272532×10 −21 para At, 4.737237 × 1 0 − 23 4.737237×10 −23 para el Precio, y 1.704448 × 1 0 − 19 1.704448×10 −19 para Volatilidad_14. Nuevamente, el precio tiene el MSE más bajo, lo que respalda la idea de que es más fácil de modelar en comparación con las otras series. Esto sugiere que el modelo captura bien las dinámicas del precio, mientras que la volatilidad presenta un comportamiento más errático.
La Raíz del Error Cuadrático Medio (RMSE) sigue la misma tendencia, con valores de 3.567257 × 1 0 − 11 3.567257×10 −11 para At, 6.882759 × 1 0 − 12 6.882759×10 −12 para el Precio, y 4.128495 × 1 0 − 10 4.128495×10 −10 para Volatilidad_14. El RMSE más bajo para el precio refuerza la conclusión de que esta serie es más predecible, mientras que la volatilidad muestra un RMSE más alto, sugiriendo una mayor dispersión en los errores de predicción.
Al analizar el Error Porcentual Absoluto Medio (MAPE), se encuentran resultados interesantes. El MAPE para At es prácticamente cero, lo que indica que el modelo ha realizado predicciones muy cercanas a los valores reales. Sin embargo, para Precio, el MAPE es más alto, lo que señala una menor precisión en términos porcentuales. La situación es más crítica para Volatilidad_14, donde el MAPE se presenta como infinito (inf), indicando problemas en el cálculo de errores porcentuales sobre valores cercanos a cero.
Por último, el coeficiente de determinación R² muestra un panorama preocupante. Tanto para At como para Volatilidad_14, el R² es cero, lo que implica que el modelo no explica la variabilidad de estas series. Esto es un indicativo claro de que el suavizado exponencial doble puede no ser el enfoque adecuado para estas variables. Para el Precio, el R² negativo de − 2.459714 × 1 0 11 −2.459714×10 11 es alarmante, sugiriendo que el modelo se ajusta muy mal a esta serie.
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
from statsmodels.tsa.holtwinters import ExponentialSmoothing
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.graphics.gofplots import qqplot
from statsmodels.stats.diagnostic import acorr_ljungbox
from statsmodels.graphics.tsaplots import plot_acf
from scipy.stats import jarque_bera
# Función para calcular el MAPE
def MAPE(y_true, y_pred):
return np.mean(np.abs((y_true - y_pred) / y_true)) * 100
# Función para realizar el ajuste y la evaluación del modelo Double Exponential Smoothing
def evaluar_modelo_residuos(variable):
ventanas = [7, 14, 21, 28]
alphas = [0.5]
betas = [0.5] # También puedes probar diferentes valores para beta
train_size = len(df) - 28
test_size = 28
resultados = []
for ventana in ventanas:
for alpha in alphas:
for beta in betas:
# Serie de tiempo de entrenamiento sin NaNs
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
# Verificar si hay suficientes datos para el entrenamiento
if len(train_series) < 2:
print(f"Skipping variable '{variable}' for ventana {ventana}, alpha {alpha}, and beta {beta} due to insufficient training data.")
continue
# Ajustar el modelo Double Exponential Smoothing
model = ExponentialSmoothing(train_series, trend="add", damped_trend=False).fit(smoothing_level=alpha, smoothing_trend=beta)
# Predicciones en el conjunto de entrenamiento
fitted_values = model.fittedvalues
# Calcular los residuos (observados - predichos)
residuos = train_series.values - fitted_values
# Calcular métricas de error
mae = mean_absolute_error(train_series, fitted_values)
mse = mean_squared_error(train_series, fitted_values)
rmse = np.sqrt(mse)
mape = MAPE(train_series, fitted_values)
r2 = r2_score(train_series, fitted_values)
# Prueba de independencia (Ljung-Box)
ljung_box_results = acorr_ljungbox(residuos, lags=[10], return_df=True)
ljung_box_pvalue = ljung_box_results['lb_pvalue'].values[0] if not ljung_box_results.empty else np.nan
# Prueba de normalidad (Jarque-Bera) desde scipy
jarque_bera_stat, jarque_bera_pvalue = jarque_bera(residuos)
# Guardar resultados
resultados.append({
'Variable': variable,
'Ventana': ventana,
'Alpha': alpha,
'Beta': beta,
'MAPE': mape,
'MAE': mae,
'MSE': mse,
'RMSE': rmse,
'R2': r2,
'LJung-Box (p-value)': ljung_box_pvalue,
'Jarque-Bera (p-value)': jarque_bera_pvalue
})
# Visualización
plt.figure(figsize=(12, 8))
# Serie de residuos
plt.subplot(3, 1, 1)
plt.plot(residuos, label="Residuos")
plt.axhline(0, color='red', linestyle='--', lw=2)
plt.title(f'Residuals for {variable} (Window {ventana}, Alpha {alpha}, Beta {beta})')
plt.legend()
# QQPlot para residuos
plt.subplot(3, 1, 2)
qqplot(residuos, line='s', ax=plt.gca())
plt.title('QQPlot de Residuos')
# ACF de residuos, asegurando que haya suficientes datos
if len(residuos) > 1:
plt.subplot(3, 1, 3)
plot_acf(residuos, ax=plt.gca())
plt.title('ACF de Residuos')
else:
print("No hay suficientes residuos para calcular el ACF.")
plt.tight_layout()
plt.show()
return pd.DataFrame(resultados)
# Evaluar los residuos para las tres variables de interés
resultados_residuos_at = evaluar_modelo_residuos('At')
resultados_residuos_price = evaluar_modelo_residuos('Price')
resultados_residuos_volatilidad = evaluar_modelo_residuos('Volatilidad_14')
# Combinar los resultados de las tres variables en una sola tabla
resultados_totales_residuos = pd.concat([resultados_residuos_at,
resultados_residuos_price,
resultados_residuos_volatilidad],
ignore_index=True)
# Mostrar la tabla con los resultados combinados
print(resultados_totales_residuos)
Variable Ventana Alpha Beta MAPE MAE \
0 At 7 0.5 0.5 11.766277 0.039697
1 At 14 0.5 0.5 11.766277 0.039697
2 At 21 0.5 0.5 11.766277 0.039697
3 At 28 0.5 0.5 11.766277 0.039697
4 Price 7 0.5 0.5 4.040196 344.475492
5 Price 14 0.5 0.5 4.040196 344.475492
6 Price 21 0.5 0.5 4.040196 344.475492
7 Price 28 0.5 0.5 4.040196 344.475492
8 Volatilidad_14 7 0.5 0.5 inf 0.004671
9 Volatilidad_14 14 0.5 0.5 inf 0.004671
10 Volatilidad_14 21 0.5 0.5 inf 0.004671
11 Volatilidad_14 28 0.5 0.5 inf 0.004671
MSE RMSE R2 LJung-Box (p-value) \
0 0.005099 0.071409 0.996973 1.106629e-246
1 0.005099 0.071409 0.996973 1.106629e-246
2 0.005099 0.071409 0.996973 1.106629e-246
3 0.005099 0.071409 0.996973 1.106629e-246
4 641546.226847 800.965809 0.997467 5.033189e-284
5 641546.226847 800.965809 0.997467 5.033189e-284
6 641546.226847 800.965809 0.997467 5.033189e-284
7 641546.226847 800.965809 0.997467 5.033189e-284
8 0.000109 0.010464 0.942980 2.625957e-284
9 0.000109 0.010464 0.942980 2.625957e-284
10 0.000109 0.010464 0.942980 2.625957e-284
11 0.000109 0.010464 0.942980 2.625957e-284
Jarque-Bera (p-value)
0 0.0
1 0.0
2 0.0
3 0.0
4 0.0
5 0.0
6 0.0
7 0.0
8 0.0
9 0.0
10 0.0
11 0.0
Variable |
Ventana |
Alpha |
Beta |
MAPE |
MAE |
MSE |
RMSE |
R2 |
LJung-Box (p-value) |
|---|---|---|---|---|---|---|---|---|---|
At |
7 |
0.5 |
0.5 |
11.766277 |
0.039697 |
0.005099 |
0.071409 |
0.996973 |
1.106629e-246 |
Price |
7 |
0.5 |
0.5 |
4.040196 |
344.475492 |
641546.226847 |
800.965809 |
0.997467 |
5.033189e-284 |
Volatilidad_14 |
7 |
0.5 |
0.5 |
inf |
0.004671 |
0.000109 |
0 |
Al analizar los resultados obtenidos para los residuos del entrenamiento del modelo de suavizado exponencial doble utilizando la librería Statsmodels, se pueden extraer conclusiones importantes. En cuanto a las métricas de error, para la variable de retornos acumulados (At), el MAPE es de 11.77 y el MAE de 0.0397, lo que indica un nivel de error razonable en las predicciones. La MSE de 0.0051 y el RMSE de 0.0714 refuerzan que el modelo se ajusta bien, ya que estos valores son relativamente bajos.
Por otro lado, en el caso de la variable de precio, el MAPE es notablemente más bajo, alcanzando 4.04, pero el MAE llega a 344.48, sugiriendo que, aunque las predicciones son más precisas en términos porcentuales, el valor absoluto de los errores es muy alto. Esto se ve reflejado en una MSE de 641546.23, lo que indica una variabilidad significativa en los errores, y un RMSE de 800.97, que es bastante alto. Este comportamiento sugiere que las predicciones del modelo son inestables para la variable de precio.
Respecto a la volatilidad, los resultados muestran un MAPE de infinito, lo que indica que hay problemas en la predicción de esta variable. Sin embargo, el MAE es bajo, alcanzando solo 0.0047, lo que sugiere que el modelo no está capturando adecuadamente la dinámica de la volatilidad. A pesar de esto, el MSE es muy bajo, indicando que los errores absolutos son pequeños, pero la naturaleza infinita del MAPE sugiere que el modelo tiene dificultades para ajustarse a esta variable.
En cuanto a la medida de R², para los retornos acumulados (At) se obtiene un valor de 0.997, lo que indica que el modelo explica casi el 99.7% de la variabilidad en los datos. Este es un resultado excelente y sugiere que el modelo de suavizado exponencial doble es muy efectivo para esta serie temporal. Por su parte, el R² para el precio es de 0.997467, que también es alto, aunque el MAE sugiere que los errores son considerablemente altos en términos absolutos. Esto indica que, a pesar de que el modelo se ajusta bien a la serie, no está logrando una buena predicción en todas las instancias. En el caso de la volatilidad, el R² es de 0.942980, lo que es aceptable, pero indica que el modelo no captura tan bien la dinámica de esta variable en comparación con las otras.
Finalmente, al evaluar la autocorrelación en los residuos utilizando el test de Ljung-Box, se observan valores p extremadamente bajos (del orden de 1.106629e-246 para los retornos acumulados y 5.033189e-284 para el precio), lo que sugiere que hay autocorrelación en los residuos, indicando que el modelo podría no haber capturado completamente la dinámica de las series temporales. Esto es una señal de que, aunque el modelo se ajusta bien en términos de error, puede haber patrones en los residuos que no se están considerando adecuadamente. Para la volatilidad, el p-value también es bajo (2.625957e-284), lo que refuerza la idea de que hay correlación en los residuos y que el modelo no está capturando completamente las características de esta variable.
Analisis de los graficos:#
Análisis de Residuos
Gráfico de Residuos en el Tiempo:
En esta gráfica, los residuos se distribuyen mayormente alrededor de la línea de cero (marcada en rojo), indicando una mejora significativa en comparación con el primer gráfico presentado. Aunque aún se observan algunos picos significativos, la mayoría de los residuos están más controlados, sugiriendo un ajuste más cercano al comportamiento de la serie temporal de retornos acumulados del bitcoin. Este patrón también se refleja en los residuos de las variables de precio y volatilidad, donde se nota un comportamiento similar, lo que sugiere que el modelo de suavizado exponencial ha capturado adecuadamente las dinámicas subyacentes de las tres series. Sin embargo, los picos presentes indican la existencia de eventos atípicos o volatilidad, algo común en series financieras. Estos picos podrían estar asociados a eventos de mercado, lo que plantea la necesidad de considerar un modelo que gestione mejor la heterocedasticidad, como un GARCH.
QQ Plot de Residuos:
En el QQ Plot, los puntos se alinean mejor con la línea roja (distribución normal teórica) en el rango intermedio de valores, lo que sugiere que los residuos son aproximadamente normales en gran parte de los datos. Sin embargo, se observan desviaciones notables en los extremos (colas), lo que implica que la distribución de los residuos presenta colas más gruesas que la normal. Esta característica de colas gruesas es típica en series de tiempo financieras, y se ha observado también en los residuos de las variables de precio y volatilidad. Esto podría ser beneficioso para explorar modelos que tengan en cuenta este comportamiento, como modelos con distribuciones t o variantes robustas de suavizado exponencial.
ACF de Residuos:
La ACF de los residuos muestra pocos picos significativos en los primeros rezagos, pero en general, los residuos están relativamente descorrelacionados. Esto es una buena señal, ya que indica que el modelo ha capturado la mayoría de la autocorrelación presente en la serie original. Este mismo patrón se observa en las series de precio y volatilidad, donde los residuos también muestran un comportamiento descorrelacionado. Aunque la autocorrelación no es completamente nula, los valores bajos sugieren que los residuos son aproximadamente independientes, lo cual es deseable en un buen ajuste de modelo.
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.tsa.holtwinters import Holt
from statsmodels.stats.diagnostic import acorr_ljungbox
# Función para calcular el MAPE
def MAPE(y_true, y_pred):
return np.mean(np.abs((y_true - y_pred) / y_true)) * 100
# Función para realizar predicciones con Double Exponential Smoothing
def des_predict(serie, alpha, beta, test_size):
model = Holt(serie)
model_fit = model.fit(smoothing_level=alpha, smoothing_trend=beta, optimized=False) # Cambiado a smoothing_trend
pred_val = model_fit.forecast(test_size)
return pred_val, model_fit.resid # Retornar también los residuos
# Función para evaluar el modelo en el conjunto de prueba
def evaluar_modelo_en_test(variable):
alphas = [0.5] # Puedes ajustar el valor de alpha
betas = [0.3] # Puedes ajustar el valor de beta
train_size = len(df) - 28 # Tamaño del conjunto de entrenamiento
test_size = 28 # Tamaño del conjunto de prueba
resultados = []
for alpha in alphas:
for beta in betas:
# Serie de tiempo de entrenamiento sin NaNs
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
# Verificar que haya suficientes datos para el entrenamiento
if len(train_series) < 2:
print(f"Skipping variable '{variable}' due to insufficient training data.")
continue
# Obtener las predicciones y residuos para el conjunto de prueba
pred_val, residuos = des_predict(train_series, alpha, beta, test_size)
# Conjunto de prueba real (últimos 28 valores de la serie) sin NaNs
val_series = df[variable].iloc[-test_size:].dropna().reset_index(drop=True)
# Asegurarse de que el tamaño de las predicciones y la serie de prueba coincidan
if len(pred_val) != len(val_series):
print(f"Skipping variable '{variable}' due to mismatch in prediction and validation set lengths.")
continue
# Calcular métricas
mae = mean_absolute_error(val_series, pred_val)
mse = mean_squared_error(val_series, pred_val)
rmse = np.sqrt(mse)
mape = MAPE(val_series, pred_val)
r2 = r2_score(val_series, pred_val)
# Pruebas de hipótesis
ljung_box_results = acorr_ljungbox(residuos, lags=[10], return_df=True)
ljung_box_pvalue = ljung_box_results['lb_pvalue'].values[0] if not ljung_box_results.empty else np.nan
# Guardar resultados
resultados.append({
'Variable': variable,
'MAPE': mape,
'MAE': mae,
'RMSE': rmse,
'MSE': mse,
'R2': r2,
'Ljung-Box (p-value)': ljung_box_pvalue
})
return pd.DataFrame(resultados)
# Evaluar cada variable y combinar los resultados
resultados_totales_test = pd.concat([evaluar_modelo_en_test('At'),
evaluar_modelo_en_test('Price'),
evaluar_modelo_en_test('Volatilidad_14')],
ignore_index=True)
# Mostrar la tabla con los resultados totales del conjunto de prueba
print(resultados_totales_test)
Variable MAPE MAE RMSE MSE \
0 At NaN 2.286879e-11 2.428319e-11 5.896734e-22
1 Price NaN 4.483255e-12 4.759638e-12 2.265415e-23
2 Volatilidad_14 NaN 2.715903e-09 3.040632e-09 9.245445e-18
R2 Ljung-Box (p-value)
0 0.000000e+00 1.531841e-226
1 -1.176271e+11 1.092221e-284
2 0.000000e+00 0.000000e+00
Variable |
MAPE |
MAE |
RMSE |
MSE |
R2 |
Ljung-Box (p-value) |
|---|---|---|---|---|---|---|
At |
NaN |
2.286879e-11 |
2.428319e-11 |
5.896734e-22 |
0.000000e+00 |
1.531841e-226 |
Price |
NaN |
4.483255e-12 |
4.759638e-12 |
2.265415e-23 |
-1.176271e+11 |
1.092221e-284 |
Volatilidad_14 |
NaN |
2.715903e-09 |
3.040632e-09 |
9.245445e-18 |
0.000000e+00 |
0.000000e+00 |
Al examinar los resultados de los residuos de la predicción del modelo de suavizado exponencial doble, se observa un panorama interesante sobre el desempeño del modelo en las diferentes variables analizadas.
Para la variable de retornos acumulados (At), el MAE es de 2.286879 × 1 0 − 11 2.286879×10 −11 y el RMSE es de 2.428319 × 1 0 − 11 2.428319×10 −11 , lo que indica un nivel de error muy bajo en las predicciones. Esto sugiere que el modelo está realizando pronósticos precisos, con una MSE de 5.896734 × 1 0 − 22 5.896734×10 −22 que refuerza la calidad del ajuste. Sin embargo, el R² es de 0, lo que indica que el modelo no explica ninguna variabilidad en los datos de esta variable. Esto es preocupante, ya que sugiere que, a pesar de los errores absolutos bajos, el modelo no está capturando adecuadamente la dinámica de los retornos acumulados.
En el caso de la variable de precio, el MAE se sitúa en 4.483255 × 1 0 − 12 4.483255×10 −12 , lo que también refleja un error bajo en términos absolutos, mientras que el RMSE es de 4.759638 × 1 0 − 12 4.759638×10 −12 y la MSE de 2.265415 × 1 0 − 23 2.265415×10 −23 , lo que muestra un desempeño similar al de la variable de retornos acumulados. Sin embargo, el R² de -1.176271e+11 es notablemente negativo, lo que implica que el modelo no solo falla en explicar la variabilidad de la serie, sino que también sugiere un ajuste muy pobre, posiblemente indicando que el modelo está inadecuado para los datos de precios.
Finalmente, en lo que respecta a la volatilidad, el MAE de 2.715903 × 1 0 − 09 2.715903×10 −09 y el RMSE de 3.040632 × 1 0 − 09 3.040632×10 −09 muestran errores en términos absolutos más altos que en las otras variables, pero aún así son bastante bajos. La MSE es de 9.245445 × 1 0 − 18 9.245445×10 −18 , lo que también sugiere un buen ajuste en términos de error absoluto. No obstante, el R² es nuevamente cero, lo que indica que el modelo no captura la dinámica de la volatilidad en absoluto.
Al observar los valores del test de Ljung-Box, se evidencian p-values extremadamente bajos para todas las variables, indicando que hay autocorrelación significativa en los residuos, lo que sugiere que el modelo no ha capturado completamente la dinámica temporal de las series. Para los retornos acumulados, el p-value es de 1.531841 × 1 0 − 226 1.531841×10 −226 ; para el precio, es de 1.092221 × 1 0 − 284 1.092221×10 −284 ; y para la volatilidad, es de 0.000000 0.000000. Esto refuerza la idea de que el modelo de suavizado exponencial doble podría no ser el más adecuado para estas series, especialmente si se consideran las características típicas de las series temporales financieras.
Modelo Arima (Usando Rolling)#
import pandas as pd
import numpy as np
import warnings # Para suprimir advertencias
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.tsa.arima.model import ARIMA
# Suprimir advertencias de convergencia
warnings.filterwarnings("ignore", message=".*Maximum Likelihood optimization failed to converge.*")
warnings.filterwarnings("ignore", message=".*Non-stationary starting autoregressive parameters found.*")
warnings.filterwarnings("ignore", message=".*Non-invertible starting MA parameters found.*")
# Función para calcular MAPE
def mean_absolute_percentage_error(y_true, y_pred):
y_true, y_pred = np.array(y_true), np.array(y_pred)
return np.mean(np.abs((y_true - y_pred) / y_true)) * 100
# Función para realizar ARIMA con rolling window
def arima_rolling(series, p, d, q, window_size, n_forecast):
history = list(series[:window_size]) # Inicialmente tomar los primeros 'window_size' valores como historia
predictions = []
for t in range(n_forecast):
# Ajustar ARIMA en la ventana
model = ARIMA(history, order=(p, d, q))
model_fit = model.fit()
# Predecir el siguiente valor
forecast = model_fit.forecast(steps=1)[0]
predictions.append(forecast)
# Actualizar la historia con el nuevo valor
history.append(forecast)
history.pop(0) # Limitar el tamaño de la historia al tamaño de la ventana
return predictions
# Parámetros
ventanas = [7, 14, 21, 28] # Ventanas de predicción
variables = ['Price', 'Volatilidad_14', 'At']
# Almacenaremos las predicciones y métricas
predicciones = {}
# Dividimos el conjunto de validación y entrenamiento
train_size = len(df) - 28
test_size = 28
# Para cada variable y cada ventana
for variable in variables:
predicciones[variable] = {}
# Tomamos el conjunto de entrenamiento para esa variable
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
for ventana in ventanas:
# Inicializar diccionario para cada ventana
predicciones[variable][ventana] = {}
# Definir parámetros ARIMA
p, d, q = 2, 1, 2 # Puedes ajustar estos parámetros según necesidad
# Aplicar ARIMA con rolling window de tamaño 14
val_predictions = arima_rolling(train_series.values, p, d, q, window_size=14, n_forecast=test_size)
# Guardar las predicciones para esta ventana
predicciones[variable][ventana]['predictions'] = val_predictions
# Evaluar en el conjunto de validación
y_true = df[variable].iloc[train_size:].values # Valores reales de validación
# Métricas de error
mse = mean_squared_error(y_true, val_predictions)
mae = mean_absolute_error(y_true, val_predictions)
rmse = np.sqrt(mse) # RMSE es la raíz cuadrada del MSE
r2 = r2_score(y_true, val_predictions)
mape = mean_absolute_percentage_error(y_true, val_predictions)
# Guardar las métricas en el diccionario
predicciones[variable][ventana]['mse'] = mse
predicciones[variable][ventana]['mae'] = mae
predicciones[variable][ventana]['rmse'] = rmse
predicciones[variable][ventana]['r2'] = r2
predicciones[variable][ventana]['mape'] = mape
# Mostrar los resultados del modelo actual
print(f"\nResultados para {variable} con ventana {ventana}:")
print(f"Modelo ARIMA(p={p}, d={d}, q={q})")
print(f"Predicciones: {predicciones[variable][ventana]['predictions']}")
print(f"MSE: {predicciones[variable][ventana]['mse']}")
print(f"MAE: {predicciones[variable][ventana]['mae']}")
print(f"RMSE: {predicciones[variable][ventana]['rmse']}")
print(f"R²: {predicciones[variable][ventana]['r2']}")
print(f"MAPE: {predicciones[variable][ventana]['mape']}%")
Resultados para Price con ventana 7:
Modelo ARIMA(p=2, d=1, q=2)
Predicciones: [np.float64(72572.82472370268), np.float64(70962.87102441574), np.float64(70180.57742488162), np.float64(70577.4622186235), np.float64(70598.07829052533), np.float64(70529.88802734358), np.float64(69765.60212929739), np.float64(69767.14627821947), np.float64(69673.12267727715), np.float64(69882.0236095976), np.float64(69932.7036312084), np.float64(69487.81940325872), np.float64(69273.84272644838), np.float64(69366.47728585098), np.float64(69477.85895750612), np.float64(69410.60733621173), np.float64(69299.16231247706), np.float64(69044.27359654884), np.float64(69021.2132675692), np.float64(69096.86562066393), np.float64(69073.02190646782), np.float64(69036.86448264269), np.float64(69003.62537522428), np.float64(69014.29828484202), np.float64(69056.69368099143), np.float64(69058.23130254625), np.float64(69063.95393017388), np.float64(68992.55837429232)]
MSE: 4851841337.202127
MAE: 69650.60242424314
RMSE: 69655.16016205926
R²: -2.5192200533264024e+43
MAPE: 69650602.42424312%
Resultados para Price con ventana 14:
Modelo ARIMA(p=2, d=1, q=2)
Predicciones: [np.float64(72572.82472370268), np.float64(70962.87102441574), np.float64(70180.57742488162), np.float64(70577.4622186235), np.float64(70598.07829052533), np.float64(70529.88802734358), np.float64(69765.60212929739), np.float64(69767.14627821947), np.float64(69673.12267727715), np.float64(69882.0236095976), np.float64(69932.7036312084), np.float64(69487.81940325872), np.float64(69273.84272644838), np.float64(69366.47728585098), np.float64(69477.85895750612), np.float64(69410.60733621173), np.float64(69299.16231247706), np.float64(69044.27359654884), np.float64(69021.2132675692), np.float64(69096.86562066393), np.float64(69073.02190646782), np.float64(69036.86448264269), np.float64(69003.62537522428), np.float64(69014.29828484202), np.float64(69056.69368099143), np.float64(69058.23130254625), np.float64(69063.95393017388), np.float64(68992.55837429232)]
MSE: 4851841337.202127
MAE: 69650.60242424314
RMSE: 69655.16016205926
R²: -2.5192200533264024e+43
MAPE: 69650602.42424312%
Resultados para Price con ventana 21:
Modelo ARIMA(p=2, d=1, q=2)
Predicciones: [np.float64(72572.82472370268), np.float64(70962.87102441574), np.float64(70180.57742488162), np.float64(70577.4622186235), np.float64(70598.07829052533), np.float64(70529.88802734358), np.float64(69765.60212929739), np.float64(69767.14627821947), np.float64(69673.12267727715), np.float64(69882.0236095976), np.float64(69932.7036312084), np.float64(69487.81940325872), np.float64(69273.84272644838), np.float64(69366.47728585098), np.float64(69477.85895750612), np.float64(69410.60733621173), np.float64(69299.16231247706), np.float64(69044.27359654884), np.float64(69021.2132675692), np.float64(69096.86562066393), np.float64(69073.02190646782), np.float64(69036.86448264269), np.float64(69003.62537522428), np.float64(69014.29828484202), np.float64(69056.69368099143), np.float64(69058.23130254625), np.float64(69063.95393017388), np.float64(68992.55837429232)]
MSE: 4851841337.202127
MAE: 69650.60242424314
RMSE: 69655.16016205926
R²: -2.5192200533264024e+43
MAPE: 69650602.42424312%
Resultados para Price con ventana 28:
Modelo ARIMA(p=2, d=1, q=2)
Predicciones: [np.float64(72572.82472370268), np.float64(70962.87102441574), np.float64(70180.57742488162), np.float64(70577.4622186235), np.float64(70598.07829052533), np.float64(70529.88802734358), np.float64(69765.60212929739), np.float64(69767.14627821947), np.float64(69673.12267727715), np.float64(69882.0236095976), np.float64(69932.7036312084), np.float64(69487.81940325872), np.float64(69273.84272644838), np.float64(69366.47728585098), np.float64(69477.85895750612), np.float64(69410.60733621173), np.float64(69299.16231247706), np.float64(69044.27359654884), np.float64(69021.2132675692), np.float64(69096.86562066393), np.float64(69073.02190646782), np.float64(69036.86448264269), np.float64(69003.62537522428), np.float64(69014.29828484202), np.float64(69056.69368099143), np.float64(69058.23130254625), np.float64(69063.95393017388), np.float64(68992.55837429232)]
MSE: 4851841337.202127
MAE: 69650.60242424314
RMSE: 69655.16016205926
R²: -2.5192200533264024e+43
MAPE: 69650602.42424312%
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\3854271937.py:15: RuntimeWarning:
divide by zero encountered in divide
Resultados para Volatilidad_14 con ventana 7:
Modelo ARIMA(p=2, d=1, q=2)
Predicciones: [np.float64(0.03815179108758726), np.float64(0.037966539414794886), np.float64(0.03838090307659538), np.float64(0.03860503790874569), np.float64(0.03816473637907315), np.float64(0.03815048525747417), np.float64(0.03825393189562654), np.float64(0.03824741347796928), np.float64(0.03822607776655757), np.float64(0.03819934059330779), np.float64(0.038211676472402985), np.float64(0.03833218381350634), np.float64(0.038292914446658), np.float64(0.038273135504198384), np.float64(0.03828315968009288), np.float64(0.03827779266202768), np.float64(0.03827594164285306), np.float64(0.03828551727067711), np.float64(0.038273359529627), np.float64(0.0382742478131256), np.float64(0.03827753568760619), np.float64(0.038276679847233104), np.float64(0.03827636155359623), np.float64(0.038275069130926875), np.float64(0.03827634656130473), np.float64(0.03827620150506399), np.float64(0.03827758595859685), np.float64(0.038275861582451526)]
MSE: 0.0014639953023312916
MAE: 0.038262065268560005
RMSE: 0.03826219155159949
R²: 0.0
MAPE: inf%
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\3854271937.py:15: RuntimeWarning:
divide by zero encountered in divide
Resultados para Volatilidad_14 con ventana 14:
Modelo ARIMA(p=2, d=1, q=2)
Predicciones: [np.float64(0.03815179108758726), np.float64(0.037966539414794886), np.float64(0.03838090307659538), np.float64(0.03860503790874569), np.float64(0.03816473637907315), np.float64(0.03815048525747417), np.float64(0.03825393189562654), np.float64(0.03824741347796928), np.float64(0.03822607776655757), np.float64(0.03819934059330779), np.float64(0.038211676472402985), np.float64(0.03833218381350634), np.float64(0.038292914446658), np.float64(0.038273135504198384), np.float64(0.03828315968009288), np.float64(0.03827779266202768), np.float64(0.03827594164285306), np.float64(0.03828551727067711), np.float64(0.038273359529627), np.float64(0.0382742478131256), np.float64(0.03827753568760619), np.float64(0.038276679847233104), np.float64(0.03827636155359623), np.float64(0.038275069130926875), np.float64(0.03827634656130473), np.float64(0.03827620150506399), np.float64(0.03827758595859685), np.float64(0.038275861582451526)]
MSE: 0.0014639953023312916
MAE: 0.038262065268560005
RMSE: 0.03826219155159949
R²: 0.0
MAPE: inf%
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\3854271937.py:15: RuntimeWarning:
divide by zero encountered in divide
Resultados para Volatilidad_14 con ventana 21:
Modelo ARIMA(p=2, d=1, q=2)
Predicciones: [np.float64(0.03815179108758726), np.float64(0.037966539414794886), np.float64(0.03838090307659538), np.float64(0.03860503790874569), np.float64(0.03816473637907315), np.float64(0.03815048525747417), np.float64(0.03825393189562654), np.float64(0.03824741347796928), np.float64(0.03822607776655757), np.float64(0.03819934059330779), np.float64(0.038211676472402985), np.float64(0.03833218381350634), np.float64(0.038292914446658), np.float64(0.038273135504198384), np.float64(0.03828315968009288), np.float64(0.03827779266202768), np.float64(0.03827594164285306), np.float64(0.03828551727067711), np.float64(0.038273359529627), np.float64(0.0382742478131256), np.float64(0.03827753568760619), np.float64(0.038276679847233104), np.float64(0.03827636155359623), np.float64(0.038275069130926875), np.float64(0.03827634656130473), np.float64(0.03827620150506399), np.float64(0.03827758595859685), np.float64(0.038275861582451526)]
MSE: 0.0014639953023312916
MAE: 0.038262065268560005
RMSE: 0.03826219155159949
R²: 0.0
MAPE: inf%
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\3854271937.py:15: RuntimeWarning:
divide by zero encountered in divide
Resultados para Volatilidad_14 con ventana 28:
Modelo ARIMA(p=2, d=1, q=2)
Predicciones: [np.float64(0.03815179108758726), np.float64(0.037966539414794886), np.float64(0.03838090307659538), np.float64(0.03860503790874569), np.float64(0.03816473637907315), np.float64(0.03815048525747417), np.float64(0.03825393189562654), np.float64(0.03824741347796928), np.float64(0.03822607776655757), np.float64(0.03819934059330779), np.float64(0.038211676472402985), np.float64(0.03833218381350634), np.float64(0.038292914446658), np.float64(0.038273135504198384), np.float64(0.03828315968009288), np.float64(0.03827779266202768), np.float64(0.03827594164285306), np.float64(0.03828551727067711), np.float64(0.038273359529627), np.float64(0.0382742478131256), np.float64(0.03827753568760619), np.float64(0.038276679847233104), np.float64(0.03827636155359623), np.float64(0.038275069130926875), np.float64(0.03827634656130473), np.float64(0.03827620150506399), np.float64(0.03827758595859685), np.float64(0.038275861582451526)]
MSE: 0.0014639953023312916
MAE: 0.038262065268560005
RMSE: 0.03826219155159949
R²: 0.0
MAPE: inf%
Resultados para At con ventana 7:
Modelo ARIMA(p=2, d=1, q=2)
Predicciones: [np.float64(0.04723382325738659), np.float64(0.02545030900326856), np.float64(0.022848817952236214), np.float64(0.04012766486861653), np.float64(0.038231434124326), np.float64(0.029019413980323257), np.float64(0.04168675610051997), np.float64(0.024846790429878137), np.float64(0.024927636316099233), np.float64(0.027156239795189097), np.float64(0.023799017736755256), np.float64(0.023770129321966958), np.float64(0.02456212363440725), np.float64(0.027211496309687326), np.float64(0.02409643138043594), np.float64(0.026718311201794825), np.float64(0.026161975378552846), np.float64(0.02697435337041726), np.float64(0.026161810650191478), np.float64(0.026910210082171024), np.float64(0.026762678900128543), np.float64(0.026653314414446544), np.float64(0.026600038444436938), np.float64(0.02659566715562109), np.float64(0.026351266415452063), np.float64(0.026351271198588936), np.float64(0.02630954749806174), np.float64(0.026330042410067866)]
MSE: 18.932862807403723
MAE: 4.351187048268252
RMSE: 4.351190964253778
R²: 0.0
MAPE: 100.65253342565073%
Resultados para At con ventana 14:
Modelo ARIMA(p=2, d=1, q=2)
Predicciones: [np.float64(0.04723382325738659), np.float64(0.02545030900326856), np.float64(0.022848817952236214), np.float64(0.04012766486861653), np.float64(0.038231434124326), np.float64(0.029019413980323257), np.float64(0.04168675610051997), np.float64(0.024846790429878137), np.float64(0.024927636316099233), np.float64(0.027156239795189097), np.float64(0.023799017736755256), np.float64(0.023770129321966958), np.float64(0.02456212363440725), np.float64(0.027211496309687326), np.float64(0.02409643138043594), np.float64(0.026718311201794825), np.float64(0.026161975378552846), np.float64(0.02697435337041726), np.float64(0.026161810650191478), np.float64(0.026910210082171024), np.float64(0.026762678900128543), np.float64(0.026653314414446544), np.float64(0.026600038444436938), np.float64(0.02659566715562109), np.float64(0.026351266415452063), np.float64(0.026351271198588936), np.float64(0.02630954749806174), np.float64(0.026330042410067866)]
MSE: 18.932862807403723
MAE: 4.351187048268252
RMSE: 4.351190964253778
R²: 0.0
MAPE: 100.65253342565073%
Resultados para At con ventana 21:
Modelo ARIMA(p=2, d=1, q=2)
Predicciones: [np.float64(0.04723382325738659), np.float64(0.02545030900326856), np.float64(0.022848817952236214), np.float64(0.04012766486861653), np.float64(0.038231434124326), np.float64(0.029019413980323257), np.float64(0.04168675610051997), np.float64(0.024846790429878137), np.float64(0.024927636316099233), np.float64(0.027156239795189097), np.float64(0.023799017736755256), np.float64(0.023770129321966958), np.float64(0.02456212363440725), np.float64(0.027211496309687326), np.float64(0.02409643138043594), np.float64(0.026718311201794825), np.float64(0.026161975378552846), np.float64(0.02697435337041726), np.float64(0.026161810650191478), np.float64(0.026910210082171024), np.float64(0.026762678900128543), np.float64(0.026653314414446544), np.float64(0.026600038444436938), np.float64(0.02659566715562109), np.float64(0.026351266415452063), np.float64(0.026351271198588936), np.float64(0.02630954749806174), np.float64(0.026330042410067866)]
MSE: 18.932862807403723
MAE: 4.351187048268252
RMSE: 4.351190964253778
R²: 0.0
MAPE: 100.65253342565073%
Resultados para At con ventana 28:
Modelo ARIMA(p=2, d=1, q=2)
Predicciones: [np.float64(0.04723382325738659), np.float64(0.02545030900326856), np.float64(0.022848817952236214), np.float64(0.04012766486861653), np.float64(0.038231434124326), np.float64(0.029019413980323257), np.float64(0.04168675610051997), np.float64(0.024846790429878137), np.float64(0.024927636316099233), np.float64(0.027156239795189097), np.float64(0.023799017736755256), np.float64(0.023770129321966958), np.float64(0.02456212363440725), np.float64(0.027211496309687326), np.float64(0.02409643138043594), np.float64(0.026718311201794825), np.float64(0.026161975378552846), np.float64(0.02697435337041726), np.float64(0.026161810650191478), np.float64(0.026910210082171024), np.float64(0.026762678900128543), np.float64(0.026653314414446544), np.float64(0.026600038444436938), np.float64(0.02659566715562109), np.float64(0.026351266415452063), np.float64(0.026351271198588936), np.float64(0.02630954749806174), np.float64(0.026330042410067866)]
MSE: 18.932862807403723
MAE: 4.351187048268252
RMSE: 4.351190964253778
R²: 0.0
MAPE: 100.65253342565073%
import pandas as pd
import numpy as np
import matplotlib.pyplot as plt
import seaborn as sns
from statsmodels.graphics.gofplots import qqplot
from statsmodels.tsa.stattools import acf
from statsmodels.stats.diagnostic import acorr_ljungbox
# Función para calcular métricas sobre los residuos
def calcular_metricas_residuos(y_true, y_pred):
residuals = y_true - y_pred
mse = mean_squared_error(y_true, y_pred)
mae = mean_absolute_error(y_true, y_pred)
rmse = np.sqrt(mse)
r2 = r2_score(y_true, y_pred)
mape = mean_absolute_percentage_error(y_true, y_pred)
return mse, mae, rmse, r2, mape, residuals
# Crear un DataFrame vacío para almacenar las métricas y pruebas de hipótesis
resultados_df = pd.DataFrame(columns=['Variable', 'Ventana', 'MAPE', 'MAE', 'RMSE', 'MSE', 'R2',
'Ljung-Box p-value', 'Jarque-Bera p-value'])
# Para cada variable y cada ventana
for variable in predicciones:
for ventana in predicciones[variable]:
# Obtener predicciones y valores reales del conjunto de validación
y_valid_true = df[variable].iloc[train_size:].values # Valores reales de validación
y_valid_pred = predicciones[variable][ventana]['predictions'] # Predicciones para la validación
# Cálculo de las métricas y los residuos
mse, mae, rmse, r2, mape, residuals = calcular_metricas_residuos(y_valid_true, y_valid_pred)
# Pruebas de hipótesis
ljung_box_pvalue = acorr_ljungbox(residuals, lags=[10], return_df=True)['lb_pvalue'].values[0]
jb_test_pvalue = jarque_bera(residuals)[1]
# Crear un nuevo DataFrame para agregar a resultados_df
nuevo_resultado = pd.DataFrame({
'Variable': [variable],
'Ventana': [ventana],
'MAPE': [mape],
'MAE': [mae],
'RMSE': [rmse],
'MSE': [mse],
'R2': [r2],
'Ljung-Box p-value': [ljung_box_pvalue],
'Jarque-Bera p-value': [jb_test_pvalue]
})
# Concatenar el nuevo resultado al DataFrame existente
resultados_df = pd.concat([resultados_df, nuevo_resultado], ignore_index=True)
# Visualización de los residuos
# 1. Serie de residuos
plt.figure(figsize=(10, 4))
plt.plot(residuals, label=f'Residuals - {variable} (Ventana {ventana})')
plt.title(f'Serie de Residuos - {variable} (Ventana {ventana})')
plt.xlabel('Tiempo')
plt.ylabel('Residuos')
plt.legend()
plt.show()
# 2. QQ-Plot para la normalidad
qqplot(residuals, line='s')
plt.title(f'QQ-Plot - {variable} (Ventana {ventana})')
plt.show()
# 3. ACF de residuos
plt.figure(figsize=(10, 4))
acf_values = acf(residuals, fft=False)
sns.barplot(x=np.arange(len(acf_values)), y=acf_values)
plt.title(f'ACF de Residuos - {variable} (Ventana {ventana})')
plt.xlabel('Rezagos')
plt.ylabel('Autocorrelación')
plt.show()
# Mostrar la tabla de resultados
print(resultados_df)
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\698158523.py:51: FutureWarning:
The behavior of DataFrame concatenation with empty or all-NA entries is deprecated. In a future version, this will no longer exclude empty or all-NA columns when determining the result dtypes. To retain the old behavior, exclude the relevant entries before the concat operation.
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\3854271937.py:15: RuntimeWarning:
divide by zero encountered in divide
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\3854271937.py:15: RuntimeWarning:
divide by zero encountered in divide
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\3854271937.py:15: RuntimeWarning:
divide by zero encountered in divide
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\3854271937.py:15: RuntimeWarning:
divide by zero encountered in divide
Variable Ventana MAPE MAE RMSE \
0 Price 7 6.965060e+07 69650.602424 69655.160162
1 Price 14 6.965060e+07 69650.602424 69655.160162
2 Price 21 6.965060e+07 69650.602424 69655.160162
3 Price 28 6.965060e+07 69650.602424 69655.160162
4 Volatilidad_14 7 inf 0.038262 0.038262
5 Volatilidad_14 14 inf 0.038262 0.038262
6 Volatilidad_14 21 inf 0.038262 0.038262
7 Volatilidad_14 28 inf 0.038262 0.038262
8 At 7 1.006525e+02 4.351187 4.351191
9 At 14 1.006525e+02 4.351187 4.351191
10 At 21 1.006525e+02 4.351187 4.351191
11 At 28 1.006525e+02 4.351187 4.351191
MSE R2 Ljung-Box p-value Jarque-Bera p-value
0 4.851841e+09 -2.519220e+43 0.000019 1.323070e-08
1 4.851841e+09 -2.519220e+43 0.000019 1.323070e-08
2 4.851841e+09 -2.519220e+43 0.000019 1.323070e-08
3 4.851841e+09 -2.519220e+43 0.000019 1.323070e-08
4 1.463995e-03 0.000000e+00 0.123431 1.728734e-08
5 1.463995e-03 0.000000e+00 0.123431 1.728734e-08
6 1.463995e-03 0.000000e+00 0.123431 1.728734e-08
7 1.463995e-03 0.000000e+00 0.123431 1.728734e-08
8 1.893286e+01 0.000000e+00 0.397909 2.385906e-07
9 1.893286e+01 0.000000e+00 0.397909 2.385906e-07
10 1.893286e+01 0.000000e+00 0.397909 2.385906e-07
11 1.893286e+01 0.000000e+00 0.397909 2.385906e-07
# Crear un DataFrame vacío para almacenar las métricas y pruebas de hipótesis
resultados_test_df = pd.DataFrame(columns=['Variable', 'Ventana', 'MAPE', 'MAE', 'RMSE', 'MSE', 'R2',
'Ljung-Box p-value'])
# Para cada variable y cada ventana
for variable in predicciones:
for ventana in predicciones[variable]:
# Obtener predicciones y valores reales del conjunto de validación
y_valid_true = df[variable].iloc[train_size:].values # Valores reales de validación
y_valid_pred = predicciones[variable][ventana]['predictions'] # Predicciones para la validación
# Calcular las métricas de error
mse = mean_squared_error(y_valid_true, y_valid_pred)
mae = mean_absolute_error(y_valid_true, y_valid_pred)
rmse = np.sqrt(mse)
r2 = r2_score(y_valid_true, y_valid_pred)
mape = mean_absolute_percentage_error(y_valid_true, y_valid_pred)
# Pruebas de hipótesis
residuals = y_valid_true - y_valid_pred
ljung_box_pvalue = acorr_ljungbox(residuals, lags=[10], return_df=True)['lb_pvalue'].values[0]
# Crear un nuevo DataFrame para agregar a resultados_test_df
nuevo_resultado_test = pd.DataFrame({
'Variable': [variable],
'Ventana': [ventana],
'MAPE': [mape],
'MAE': [mae],
'RMSE': [rmse],
'MSE': [mse],
'R2': [r2],
'Ljung-Box p-value': [ljung_box_pvalue]
})
# Concatenar el nuevo resultado al DataFrame existente
resultados_test_df = pd.concat([resultados_test_df, nuevo_resultado_test], ignore_index=True)
# Mostrar la tabla de resultados en el conjunto de test
print(resultados_test_df)
Variable Ventana MAPE MAE RMSE \
0 Price 7 6.965060e+07 69650.602424 69655.160162
1 Price 14 6.965060e+07 69650.602424 69655.160162
2 Price 21 6.965060e+07 69650.602424 69655.160162
3 Price 28 6.965060e+07 69650.602424 69655.160162
4 Volatilidad_14 7 inf 0.038262 0.038262
5 Volatilidad_14 14 inf 0.038262 0.038262
6 Volatilidad_14 21 inf 0.038262 0.038262
7 Volatilidad_14 28 inf 0.038262 0.038262
8 At 7 1.006525e+02 4.351187 4.351191
9 At 14 1.006525e+02 4.351187 4.351191
10 At 21 1.006525e+02 4.351187 4.351191
11 At 28 1.006525e+02 4.351187 4.351191
MSE R2 Ljung-Box p-value
0 4.851841e+09 -2.519220e+43 0.000019
1 4.851841e+09 -2.519220e+43 0.000019
2 4.851841e+09 -2.519220e+43 0.000019
3 4.851841e+09 -2.519220e+43 0.000019
4 1.463995e-03 0.000000e+00 0.123431
5 1.463995e-03 0.000000e+00 0.123431
6 1.463995e-03 0.000000e+00 0.123431
7 1.463995e-03 0.000000e+00 0.123431
8 1.893286e+01 0.000000e+00 0.397909
9 1.893286e+01 0.000000e+00 0.397909
10 1.893286e+01 0.000000e+00 0.397909
11 1.893286e+01 0.000000e+00 0.397909
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\2131720371.py:36: FutureWarning:
The behavior of DataFrame concatenation with empty or all-NA entries is deprecated. In a future version, this will no longer exclude empty or all-NA columns when determining the result dtypes. To retain the old behavior, exclude the relevant entries before the concat operation.
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\3854271937.py:15: RuntimeWarning:
divide by zero encountered in divide
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\3854271937.py:15: RuntimeWarning:
divide by zero encountered in divide
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\3854271937.py:15: RuntimeWarning:
divide by zero encountered in divide
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\3854271937.py:15: RuntimeWarning:
divide by zero encountered in divide
Arima sin Rolling#
import pandas as pd
import numpy as np
import warnings # Para suprimir advertencias
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.tsa.arima.model import ARIMA
from statsmodels.stats.diagnostic import acorr_ljungbox
# Suprimir advertencias de convergencia
warnings.filterwarnings("ignore", message=".*Maximum Likelihood optimization failed to converge.*")
warnings.filterwarnings("ignore", message=".*Non-stationary starting autoregressive parameters found.*")
warnings.filterwarnings("ignore", message=".*Non-invertible starting MA parameters found.*")
# Función para calcular MAPE
def mean_absolute_percentage_error(y_true, y_pred):
y_true, y_pred = np.array(y_true), np.array(y_pred)
return np.mean(np.abs((y_true - y_pred) / y_true)) * 100
# Parámetros
ventanas = [7, 14, 21, 28] # Ventanas de predicción
variables = ['Price', 'Volatilidad_14', 'At']
# Almacenaremos las predicciones y métricas
predicciones = {}
# Dividimos el conjunto de validación y entrenamiento
train_size = len(df) - 28
test_size = 28
# Para cada variable y cada ventana
for variable in variables:
predicciones[variable] = {}
# Tomamos el conjunto de entrenamiento para esa variable
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
for ventana in ventanas:
# Definir parámetros ARIMA
p, d, q = 2, 1, 2 # Puedes ajustar estos parámetros según necesidad
# Ajustar el modelo ARIMA al conjunto de entrenamiento
model = ARIMA(train_series, order=(p, d, q))
model_fit = model.fit()
# Hacer predicciones en el conjunto de validación
val_predictions = model_fit.forecast(steps=test_size)
# Guardar las predicciones
predicciones[variable][ventana] = {
'predictions': val_predictions,
}
# Evaluar en el conjunto de validación
y_true = df[variable].iloc[train_size:].values # Valores reales de validación
# Métricas de error
mse = mean_squared_error(y_true, val_predictions)
mae = mean_absolute_error(y_true, val_predictions)
rmse = np.sqrt(mse) # RMSE es la raíz cuadrada del MSE
r2 = r2_score(y_true, val_predictions)
mape = mean_absolute_percentage_error(y_true, val_predictions)
# Guardar las métricas en el diccionario
predicciones[variable][ventana]['mse'] = mse
predicciones[variable][ventana]['mae'] = mae
predicciones[variable][ventana]['rmse'] = rmse
predicciones[variable][ventana]['r2'] = r2
predicciones[variable][ventana]['mape'] = mape
# Calcular residuos para pruebas de hipótesis
residuals = y_true - val_predictions
ljung_box_pvalue = acorr_ljungbox(residuals, lags=[10], return_df=True)['lb_pvalue'].values[0]
# Guardar el p-value de Ljung-Box
predicciones[variable][ventana]['Ljung-Box p-value'] = ljung_box_pvalue
# Mostrar los resultados del modelo actual
print(f"\nResultados para {variable} con ventana {ventana}:")
print(f"Modelo ARIMA(p={p}, d={d}, q={q})")
print(f"MSE: {predicciones[variable][ventana]['mse']}")
print(f"MAE: {predicciones[variable][ventana]['mae']}")
print(f"RMSE: {predicciones[variable][ventana]['rmse']}")
print(f"R²: {predicciones[variable][ventana]['r2']}")
print(f"MAPE: {predicciones[variable][ventana]['mape']}%")
print(f"Ljung-Box p-value: {predicciones[variable][ventana]['Ljung-Box p-value']}")
# Crear un DataFrame para almacenar los resultados
resultados_df = pd.DataFrame(columns=['Variable', 'Ventana', 'MAPE', 'MAE', 'RMSE', 'MSE', 'R2', 'Ljung-Box p-value'])
# Agregar los resultados al DataFrame usando pd.concat
resultados = []
for variable in predicciones:
for ventana in predicciones[variable]:
resultados.append({
'Variable': variable,
'Ventana': ventana,
'MAPE': predicciones[variable][ventana]['mape'],
'MAE': predicciones[variable][ventana]['mae'],
'RMSE': predicciones[variable][ventana]['rmse'],
'MSE': predicciones[variable][ventana]['mse'],
'R2': predicciones[variable][ventana]['r2'],
'Ljung-Box p-value': predicciones[variable][ventana]['Ljung-Box p-value']
})
resultados_df = pd.concat([resultados_df, pd.DataFrame(resultados)], ignore_index=True)
# Mostrar la tabla de resultados
print("\nResultados del modelo ARIMA sin rolling por ventana:")
print(resultados_df)
Resultados para Price con ventana 7:
Modelo ARIMA(p=2, d=1, q=2)
MSE: 9.583710199508094e-18
MAE: 2.985947041705961e-09
RMSE: 3.0957568056144358e-09
R²: -4.976146836201406e+16
MAPE: 2.985947041705961e-06%
Ljung-Box p-value: 0.004167894469301648
Resultados para Price con ventana 14:
Modelo ARIMA(p=2, d=1, q=2)
MSE: 9.583710199508094e-18
MAE: 2.985947041705961e-09
RMSE: 3.0957568056144358e-09
R²: -4.976146836201406e+16
MAPE: 2.985947041705961e-06%
Ljung-Box p-value: 0.004167894469301648
Resultados para Price con ventana 21:
Modelo ARIMA(p=2, d=1, q=2)
MSE: 9.583710199508094e-18
MAE: 2.985947041705961e-09
RMSE: 3.0957568056144358e-09
R²: -4.976146836201406e+16
MAPE: 2.985947041705961e-06%
Ljung-Box p-value: 0.004167894469301648
Resultados para Price con ventana 28:
Modelo ARIMA(p=2, d=1, q=2)
MSE: 9.583710199508094e-18
MAE: 2.985947041705961e-09
RMSE: 3.0957568056144358e-09
R²: -4.976146836201406e+16
MAPE: 2.985947041705961e-06%
Ljung-Box p-value: 0.004167894469301648
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\1254920799.py:16: RuntimeWarning:
divide by zero encountered in divide
Resultados para Volatilidad_14 con ventana 7:
Modelo ARIMA(p=2, d=1, q=2)
MSE: 4.3868101422847745e-11
MAE: 6.353262805254867e-06
RMSE: 6.623299889243107e-06
R²: 0.0
MAPE: inf%
Ljung-Box p-value: 8.055365100423648e-19
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\1254920799.py:16: RuntimeWarning:
divide by zero encountered in divide
Resultados para Volatilidad_14 con ventana 14:
Modelo ARIMA(p=2, d=1, q=2)
MSE: 4.3868101422847745e-11
MAE: 6.353262805254867e-06
RMSE: 6.623299889243107e-06
R²: 0.0
MAPE: inf%
Ljung-Box p-value: 8.055365100423648e-19
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\1254920799.py:16: RuntimeWarning:
divide by zero encountered in divide
Resultados para Volatilidad_14 con ventana 21:
Modelo ARIMA(p=2, d=1, q=2)
MSE: 4.3868101422847745e-11
MAE: 6.353262805254867e-06
RMSE: 6.623299889243107e-06
R²: 0.0
MAPE: inf%
Ljung-Box p-value: 8.055365100423648e-19
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\1254920799.py:16: RuntimeWarning:
divide by zero encountered in divide
Resultados para Volatilidad_14 con ventana 28:
Modelo ARIMA(p=2, d=1, q=2)
MSE: 4.3868101422847745e-11
MAE: 6.353262805254867e-06
RMSE: 6.623299889243107e-06
R²: 0.0
MAPE: inf%
Ljung-Box p-value: 8.055365100423648e-19
Resultados para At con ventana 7:
Modelo ARIMA(p=2, d=1, q=2)
MSE: 1.0174333525088e-27
MAE: 3.1498613241508014e-14
RMSE: 3.1897231110376965e-14
R²: 0.0
MAPE: 7.286322529881441e-13%
Ljung-Box p-value: 0.08145282002778445
Resultados para At con ventana 14:
Modelo ARIMA(p=2, d=1, q=2)
MSE: 1.0174333525088e-27
MAE: 3.1498613241508014e-14
RMSE: 3.1897231110376965e-14
R²: 0.0
MAPE: 7.286322529881441e-13%
Ljung-Box p-value: 0.08145282002778445
Resultados para At con ventana 21:
Modelo ARIMA(p=2, d=1, q=2)
MSE: 1.0174333525088e-27
MAE: 3.1498613241508014e-14
RMSE: 3.1897231110376965e-14
R²: 0.0
MAPE: 7.286322529881441e-13%
Ljung-Box p-value: 0.08145282002778445
Resultados para At con ventana 28:
Modelo ARIMA(p=2, d=1, q=2)
MSE: 1.0174333525088e-27
MAE: 3.1498613241508014e-14
RMSE: 3.1897231110376965e-14
R²: 0.0
MAPE: 7.286322529881441e-13%
Ljung-Box p-value: 0.08145282002778445
Resultados del modelo ARIMA sin rolling por ventana:
Variable Ventana MAPE MAE RMSE \
0 Price 7 2.985947e-06 2.985947e-09 3.095757e-09
1 Price 14 2.985947e-06 2.985947e-09 3.095757e-09
2 Price 21 2.985947e-06 2.985947e-09 3.095757e-09
3 Price 28 2.985947e-06 2.985947e-09 3.095757e-09
4 Volatilidad_14 7 inf 6.353263e-06 6.623300e-06
5 Volatilidad_14 14 inf 6.353263e-06 6.623300e-06
6 Volatilidad_14 21 inf 6.353263e-06 6.623300e-06
7 Volatilidad_14 28 inf 6.353263e-06 6.623300e-06
8 At 7 7.286323e-13 3.149861e-14 3.189723e-14
9 At 14 7.286323e-13 3.149861e-14 3.189723e-14
10 At 21 7.286323e-13 3.149861e-14 3.189723e-14
11 At 28 7.286323e-13 3.149861e-14 3.189723e-14
MSE R2 Ljung-Box p-value
0 9.583710e-18 -4.976147e+16 4.167894e-03
1 9.583710e-18 -4.976147e+16 4.167894e-03
2 9.583710e-18 -4.976147e+16 4.167894e-03
3 9.583710e-18 -4.976147e+16 4.167894e-03
4 4.386810e-11 0.000000e+00 8.055365e-19
5 4.386810e-11 0.000000e+00 8.055365e-19
6 4.386810e-11 0.000000e+00 8.055365e-19
7 4.386810e-11 0.000000e+00 8.055365e-19
8 1.017433e-27 0.000000e+00 8.145282e-02
9 1.017433e-27 0.000000e+00 8.145282e-02
10 1.017433e-27 0.000000e+00 8.145282e-02
11 1.017433e-27 0.000000e+00 8.145282e-02
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\1254920799.py:104: FutureWarning:
The behavior of DataFrame concatenation with empty or all-NA entries is deprecated. In a future version, this will no longer exclude empty or all-NA columns when determining the result dtypes. To retain the old behavior, exclude the relevant entries before the concat operation.
import pandas as pd
import numpy as np
import matplotlib.pyplot as plt
import seaborn as sns
from statsmodels.graphics.gofplots import qqplot
from statsmodels.tsa.stattools import acf
from statsmodels.stats.diagnostic import acorr_ljungbox
from statsmodels.stats.stattools import jarque_bera # Asegúrate de importar esta función
# Función para calcular métricas sobre los residuos
def calcular_metricas_residuos(y_true, y_pred):
residuals = y_true - y_pred
mse = mean_squared_error(y_true, y_pred)
mae = mean_absolute_error(y_true, y_pred)
rmse = np.sqrt(mse)
r2 = r2_score(y_true, y_pred)
mape = mean_absolute_percentage_error(y_true, y_pred)
return mse, mae, rmse, r2, mape, residuals
# Crear un DataFrame vacío para almacenar las métricas y pruebas de hipótesis
resultados_df = pd.DataFrame(columns=['Variable', 'Ventana', 'MAPE', 'MAE', 'RMSE', 'MSE', 'R2',
'Ljung-Box p-value', 'Jarque-Bera p-value'])
# Para cada variable y cada ventana
for variable in variables:
for ventana in ventanas:
# Obtener predicciones y valores reales del conjunto de validación
y_valid_true = df[variable].iloc[train_size:].values # Valores reales de validación
y_valid_pred = predicciones[variable][ventana]['predictions'] # Predicciones para la validación
# Cálculo de las métricas y los residuos
mse, mae, rmse, r2, mape, residuals = calcular_metricas_residuos(y_valid_true, y_valid_pred)
# Pruebas de hipótesis
ljung_box_pvalue = acorr_ljungbox(residuals, lags=[10], return_df=True)['lb_pvalue'].values[0]
jb_test_pvalue = jarque_bera(residuals)[1]
# Crear un nuevo DataFrame para agregar a resultados_df
nuevo_resultado = pd.DataFrame({
'Variable': [variable],
'Ventana': [ventana],
'MAPE': [mape],
'MAE': [mae],
'RMSE': [rmse],
'MSE': [mse],
'R2': [r2],
'Ljung-Box p-value': [ljung_box_pvalue],
'Jarque-Bera p-value': [jb_test_pvalue]
})
# Concatenar el nuevo resultado al DataFrame existente
resultados_df = pd.concat([resultados_df, nuevo_resultado], ignore_index=True)
# Visualización de los residuos
# 1. Serie de residuos
plt.figure(figsize=(10, 4))
plt.plot(residuals, label=f'Residuals - {variable} (Ventana {ventana})')
plt.title(f'Serie de Residuos - {variable} (Ventana {ventana})')
plt.xlabel('Tiempo')
plt.ylabel('Residuos')
plt.legend()
plt.show()
# 2. QQ-Plot para la normalidad
qqplot(residuals, line='s')
plt.title(f'QQ-Plot - {variable} (Ventana {ventana})')
plt.show()
# 3. ACF de residuos
plt.figure(figsize=(10, 4))
acf_values = acf(residuals, fft=False)
sns.barplot(x=np.arange(len(acf_values)), y=acf_values)
plt.title(f'ACF de Residuos - {variable} (Ventana {ventana})')
plt.xlabel('Rezagos')
plt.ylabel('Autocorrelación')
plt.show()
# Mostrar la tabla de resultados
print(resultados_df)
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\101724467.py:52: FutureWarning:
The behavior of DataFrame concatenation with empty or all-NA entries is deprecated. In a future version, this will no longer exclude empty or all-NA columns when determining the result dtypes. To retain the old behavior, exclude the relevant entries before the concat operation.
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\1254920799.py:16: RuntimeWarning:
divide by zero encountered in divide
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\1254920799.py:16: RuntimeWarning:
divide by zero encountered in divide
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\1254920799.py:16: RuntimeWarning:
divide by zero encountered in divide
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\1254920799.py:16: RuntimeWarning:
divide by zero encountered in divide
Variable Ventana MAPE MAE RMSE \
0 Price 7 2.985947e-06 2.985947e-09 3.095757e-09
1 Price 14 2.985947e-06 2.985947e-09 3.095757e-09
2 Price 21 2.985947e-06 2.985947e-09 3.095757e-09
3 Price 28 2.985947e-06 2.985947e-09 3.095757e-09
4 Volatilidad_14 7 inf 6.353263e-06 6.623300e-06
5 Volatilidad_14 14 inf 6.353263e-06 6.623300e-06
6 Volatilidad_14 21 inf 6.353263e-06 6.623300e-06
7 Volatilidad_14 28 inf 6.353263e-06 6.623300e-06
8 At 7 7.286323e-13 3.149861e-14 3.189723e-14
9 At 14 7.286323e-13 3.149861e-14 3.189723e-14
10 At 21 7.286323e-13 3.149861e-14 3.189723e-14
11 At 28 7.286323e-13 3.149861e-14 3.189723e-14
MSE R2 Ljung-Box p-value Jarque-Bera p-value
0 9.583710e-18 -4.976147e+16 4.167894e-03 2.886901e-10
1 9.583710e-18 -4.976147e+16 4.167894e-03 2.886901e-10
2 9.583710e-18 -4.976147e+16 4.167894e-03 2.886901e-10
3 9.583710e-18 -4.976147e+16 4.167894e-03 2.886901e-10
4 4.386810e-11 0.000000e+00 8.055365e-19 3.378241e-02
5 4.386810e-11 0.000000e+00 8.055365e-19 3.378241e-02
6 4.386810e-11 0.000000e+00 8.055365e-19 3.378241e-02
7 4.386810e-11 0.000000e+00 8.055365e-19 3.378241e-02
8 1.017433e-27 0.000000e+00 8.145282e-02 6.337390e-25
9 1.017433e-27 0.000000e+00 8.145282e-02 6.337390e-25
10 1.017433e-27 0.000000e+00 8.145282e-02 6.337390e-25
11 1.017433e-27 0.000000e+00 8.145282e-02 6.337390e-25
import pandas as pd
import numpy as np
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.stats.diagnostic import acorr_ljungbox
# Crear un DataFrame vacío para almacenar las métricas y pruebas de hipótesis
resultados_test_df = pd.DataFrame(columns=['Variable', 'Ventana', 'MAPE', 'MAE', 'RMSE', 'MSE', 'R2',
'Ljung-Box p-value'])
# Para cada variable y cada ventana
for variable in variables:
for ventana in ventanas:
# Obtener predicciones y valores reales del conjunto de validación
y_valid_true = df[variable].iloc[train_size:].values # Valores reales de validación
y_valid_pred = predicciones[variable][ventana]['predictions'] # Predicciones para la validación
# Calcular las métricas de error
mse = mean_squared_error(y_valid_true, y_valid_pred)
mae = mean_absolute_error(y_valid_true, y_valid_pred)
rmse = np.sqrt(mse)
r2 = r2_score(y_valid_true, y_valid_pred)
mape = mean_absolute_percentage_error(y_valid_true, y_valid_pred)
# Calcular los residuos y realizar la prueba de Ljung-Box
residuals = y_valid_true - y_valid_pred
ljung_box_pvalue = acorr_ljungbox(residuals, lags=[10], return_df=True)['lb_pvalue'].values[0]
# Crear un nuevo DataFrame para agregar a resultados_test_df
nuevo_resultado_test = pd.DataFrame({
'Variable': [variable],
'Ventana': [ventana],
'MAPE': [mape],
'MAE': [mae],
'RMSE': [rmse],
'MSE': [mse],
'R2': [r2],
'Ljung-Box p-value': [ljung_box_pvalue]
})
# Concatenar el nuevo resultado al DataFrame existente
resultados_test_df = pd.concat([resultados_test_df, nuevo_resultado_test], ignore_index=True)
# Mostrar la tabla de resultados en el conjunto de test
print(resultados_test_df)
Variable Ventana MAPE MAE RMSE \
0 Price 7 2.985947e-06 2.985947e-09 3.095757e-09
1 Price 14 2.985947e-06 2.985947e-09 3.095757e-09
2 Price 21 2.985947e-06 2.985947e-09 3.095757e-09
3 Price 28 2.985947e-06 2.985947e-09 3.095757e-09
4 Volatilidad_14 7 inf 6.353263e-06 6.623300e-06
5 Volatilidad_14 14 inf 6.353263e-06 6.623300e-06
6 Volatilidad_14 21 inf 6.353263e-06 6.623300e-06
7 Volatilidad_14 28 inf 6.353263e-06 6.623300e-06
8 At 7 7.286323e-13 3.149861e-14 3.189723e-14
9 At 14 7.286323e-13 3.149861e-14 3.189723e-14
10 At 21 7.286323e-13 3.149861e-14 3.189723e-14
11 At 28 7.286323e-13 3.149861e-14 3.189723e-14
MSE R2 Ljung-Box p-value
0 9.583710e-18 -4.976147e+16 4.167894e-03
1 9.583710e-18 -4.976147e+16 4.167894e-03
2 9.583710e-18 -4.976147e+16 4.167894e-03
3 9.583710e-18 -4.976147e+16 4.167894e-03
4 4.386810e-11 0.000000e+00 8.055365e-19
5 4.386810e-11 0.000000e+00 8.055365e-19
6 4.386810e-11 0.000000e+00 8.055365e-19
7 4.386810e-11 0.000000e+00 8.055365e-19
8 1.017433e-27 0.000000e+00 8.145282e-02
9 1.017433e-27 0.000000e+00 8.145282e-02
10 1.017433e-27 0.000000e+00 8.145282e-02
11 1.017433e-27 0.000000e+00 8.145282e-02
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\3768060156.py:41: FutureWarning:
The behavior of DataFrame concatenation with empty or all-NA entries is deprecated. In a future version, this will no longer exclude empty or all-NA columns when determining the result dtypes. To retain the old behavior, exclude the relevant entries before the concat operation.
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\1254920799.py:16: RuntimeWarning:
divide by zero encountered in divide
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\1254920799.py:16: RuntimeWarning:
divide by zero encountered in divide
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\1254920799.py:16: RuntimeWarning:
divide by zero encountered in divide
C:\Users\Maestriadatos\AppData\Local\Temp\ipykernel_11704\1254920799.py:16: RuntimeWarning:
divide by zero encountered in divide
Garch con Rolling#
import pandas as pd
import numpy as np
from arch import arch_model
from concurrent.futures import ThreadPoolExecutor
import warnings
# Suprimir warnings
warnings.filterwarnings("ignore")
# Parámetros generales
ventanas = [14, 28, 21, 7] # Ventanas de rolling para todas las variables
step_size = 5 # Tamaño de paso para el rolling
train_size = len(df) - 28
test_size = 28
# Función para ejecutar el rolling de GARCH en paralelo
def ajustar_garch(variable, ventana, start, train_series):
end = start + ventana
rolling_train_series = train_series[start:end]
# Ajustar el modelo GARCH(1,1)
model = arch_model(rolling_train_series, vol='Garch', p=1, q=1)
model_fit = model.fit(disp=False, tol=1e-4) # Ajustar el modelo
# Realizar predicciones
forecast = model_fit.forecast(horizon=test_size)
var_pred = forecast.variance.values[-1, :] # Predicciones de varianza
# Guardar predicciones y resultados del modelo
return start, var_pred, model_fit.params, model_fit.loglikelihood, model_fit.aic, model_fit.bic
# Función para realizar el ajuste de GARCH para una variable
def procesar_variable(variable):
predicciones = {}
resultados_modelo = {}
# Tomar la serie de entrenamiento para cada variable
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
for ventana in ventanas:
predicciones[ventana] = {}
resultados_modelo[ventana] = {}
# Ejecutar rolling con paso fijo
with ThreadPoolExecutor() as executor:
futures = []
for start in range(0, len(train_series) - ventana, step_size): # Usamos step_size para saltar puntos
futures.append(executor.submit(ajustar_garch, variable, ventana, start, train_series))
# Obtener resultados de tareas paralelas
for future in futures:
start, var_pred, params, loglikelihood, aic, bic = future.result()
# Guardar predicciones
predicciones[ventana][start] = var_pred
# Almacenar los resultados del modelo (parámetros ajustados, AIC, BIC)
resultados_modelo[ventana][start] = {
'params': params,
'loglikelihood': loglikelihood,
'aic': aic,
'bic': bic
}
return predicciones, resultados_modelo
# Procesar cada variable por separado
print("Procesando variable: Price")
predicciones_price, resultados_modelo_price = procesar_variable('Price')
print("Procesando variable: Volatilidad_14")
predicciones_volatilidad, resultados_modelo_volatilidad = procesar_variable('Volatilidad_14')
print("Procesando variable: At")
predicciones_at, resultados_modelo_at = procesar_variable('At')
# Imprimir o almacenar resultados finales por variable
print("Predicciones Price:", predicciones_price)
print("Resultados Modelo Price:", resultados_modelo_price)
print("Predicciones Volatilidad_14:", predicciones_volatilidad)
print("Resultados Modelo Volatilidad_14:", resultados_modelo_volatilidad)
print("Predicciones At:", predicciones_at)
print("Resultados Modelo At:", resultados_modelo_at)
Procesando variable: Price
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
Procesando variable: Volatilidad_14
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 8. The message is:
Positive directional derivative for linesearch
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 8. The message is:
Positive directional derivative for linesearch
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
Procesando variable: At
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 8. The message is:
Positive directional derivative for linesearch
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
Predicciones Price: {14: {0: array([11456466.77541566, 11459089.84352173, 11460973.40115409,
11462325.93536631, 11463297.15534056, 11463994.56338383,
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11465596.01809595, 11465645.31750594, 11465680.71814222,
11465706.13842715, 11465724.39207889, 11465737.49955596,
11465746.91169758, 11465753.670314 , 11465758.52350234,
11465762.00845186, 11465764.51090433, 11465766.30785098,
11465767.59819208, 11465768.52475278, 11465769.19009215,
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7534230.33742106, 7534230.36559048, 7534230.38025721,
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3344185.91991238, 3568341.40785303, 3781746.32150209,
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9314.82418912, 9833.56604355, 10188.58195179, 10431.54729964,
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63273.82790125, 64171.24654127, 65068.66518129, 65966.08382131]), 1980: array([12972.16382997, 17629.57724207, 21345.4694762 , 24310.17410384,
26675.547741 , 28562.74837179, 30068.44124199, 31269.75019791,
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31808.2475179 , 36049.19182101, 39785.50444907, 43077.23172885,
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64620.76199171, 64957.33194842, 65253.85331007, 65515.09147517]), 1990: array([ 4762.02043841, 9306.6855988 , 13644.6761162 , 17785.39079263,
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4187.6491792 , 4250.00310449, 4280.86620574, 4296.14240551,
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77200.92282808, 78384.171217 , 79567.41960593, 80750.66799486]), 2005: array([11812.34297867, 17543.40033727, 20817.75813364, 22688.51571079,
23757.34634265, 24368.00746389, 24716.89997676, 24916.23473266,
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31360.46111301, 31433.1092443 , 31477.74835238, 31505.17713734,
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0.00236262, 0.00236276, 0.00236286, 0.00236295, 0.00236302,
0.00236307, 0.00236311, 0.00236315]), 4840: array([0.0018644 , 0.00179336, 0.00172502, 0.00165928, 0.00159605,
0.00153523, 0.00147673, 0.00142046, 0.00136633, 0.00131426,
0.00126418, 0.001216 , 0.00116967, 0.00112509, 0.00108222,
0.00104098, 0.00100131, 0.00096316, 0.00092645, 0.00089115,
0.00085719, 0.00082453, 0.00079311, 0.00076288, 0.00073381,
0.00070585, 0.00067895, 0.00065308]), 4845: array([0.00122787, 0.00122787, 0.00122787, 0.00122787, 0.00122787,
0.00122787, 0.00122787, 0.00122787, 0.00122787, 0.00122787,
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0.00122787, 0.00122787, 0.00122787, 0.00122787, 0.00122787,
0.00122787, 0.00122787, 0.00122787, 0.00122787, 0.00122787,
0.00122787, 0.00122787, 0.00122787]), 4850: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4855: array([0.0043868 , 0.0035147 , 0.00306068, 0.00282431, 0.00270126,
0.0026372 , 0.00260385, 0.00258648, 0.00257744, 0.00257274,
0.00257029, 0.00256901, 0.00256835, 0.002568 , 0.00256782,
0.00256773, 0.00256768, 0.00256765, 0.00256764, 0.00256763,
0.00256763, 0.00256763, 0.00256763, 0.00256763, 0.00256763,
0.00256763, 0.00256763, 0.00256763]), 4860: array([0.00231709, 0.00238969, 0.00242598, 0.00244413, 0.0024532 ,
0.00245774, 0.00246001, 0.00246114, 0.00246171, 0.00246199,
0.00246213, 0.00246221, 0.00246224, 0.00246226, 0.00246227,
0.00246227, 0.00246227, 0.00246228, 0.00246228, 0.00246228,
0.00246228, 0.00246228, 0.00246228, 0.00246228, 0.00246228,
0.00246228, 0.00246228, 0.00246228]), 4865: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4870: array([0.00192587, 0.00203674, 0.00214761, 0.00225848, 0.00236935,
0.00248022, 0.00259109, 0.00270196, 0.00281283, 0.0029237 ,
0.00303457, 0.00314544, 0.00325631, 0.00336718, 0.00347805,
0.00358892, 0.00369979, 0.00381065, 0.00392152, 0.00403239,
0.00414326, 0.00425413, 0.004365 , 0.00447587, 0.00458674,
0.00469761, 0.00480848, 0.00491935]), 4875: array([0.00171623, 0.00192717, 0.0019714 , 0.00198067, 0.00198262,
0.00198302, 0.00198311, 0.00198313, 0.00198313, 0.00198313,
0.00198313, 0.00198313, 0.00198313, 0.00198313, 0.00198313,
0.00198313, 0.00198313, 0.00198313, 0.00198313, 0.00198313,
0.00198313, 0.00198313, 0.00198313, 0.00198313, 0.00198313,
0.00198313, 0.00198313, 0.00198313]), 4880: array([0.00256302, 0.00250544, 0.00247666, 0.00246226, 0.00245507,
0.00245147, 0.00244967, 0.00244877, 0.00244832, 0.0024481 ,
0.00244799, 0.00244793, 0.0024479 , 0.00244789, 0.00244788,
0.00244788, 0.00244788, 0.00244788, 0.00244788, 0.00244787,
0.00244787, 0.00244787, 0.00244787, 0.00244787, 0.00244787,
0.00244787, 0.00244787, 0.00244787]), 4885: array([0.00540322, 0.00542039, 0.00542898, 0.00543327, 0.00543542,
0.00543649, 0.00543703, 0.0054373 , 0.00543743, 0.0054375 ,
0.00543753, 0.00543755, 0.00543756, 0.00543756, 0.00543756,
0.00543756, 0.00543756, 0.00543756, 0.00543756, 0.00543756,
0.00543756, 0.00543756, 0.00543756, 0.00543756, 0.00543756,
0.00543756, 0.00543756, 0.00543756]), 4890: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4895: array([0.00367964, 0.00334535, 0.00314346, 0.00302152, 0.00294788,
0.00290341, 0.00287655, 0.00286033, 0.00285053, 0.00284461,
0.00284104, 0.00283888, 0.00283758, 0.00283679, 0.00283632,
0.00283603, 0.00283586, 0.00283575, 0.00283569, 0.00283565,
0.00283563, 0.00283561, 0.0028356 , 0.0028356 , 0.0028356 ,
0.00283559, 0.00283559, 0.00283559]), 4900: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4905: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4910: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4915: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4920: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4925: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4930: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4935: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4940: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4945: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4950: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4955: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4960: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
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Resultados Modelo Price: {14: {0: {'params': mu 6.780209e+04
omega 3.232496e+06
alpha[1] 1.134509e-15
beta[1] 7.180742e-01
Name: params, dtype: float64, 'loglikelihood': -133.18865030736922, 'aic': 274.37730061473843, 'bic': np.float64(276.93352993319945)}, 5: {'params': mu 6.851966e+04
omega 2.429420e+06
alpha[1] 1.755668e-15
beta[1] 6.230383e-01
Name: params, dtype: float64, 'loglikelihood': -130.93060525518916, 'aic': 269.8612105103783, 'bic': np.float64(272.41743982883935)}, 10: {'params': mu 6.757520e+04
omega 6.372802e+06
alpha[1] 5.573383e-01
beta[1] 2.661795e-02
Name: params, dtype: float64, 'loglikelihood': -133.54455091267693, 'aic': 275.08910182535385, 'bic': np.float64(277.6453311438149)}, 15: {'params': mu 6.256970e+04
omega 1.234206e+07
alpha[1] 6.662098e-01
beta[1] 0.000000e+00
Name: params, dtype: float64, 'loglikelihood': -137.26148972143463, 'aic': 282.52297944286926, 'bic': np.float64(285.0792087613303)}, 20: {'params': mu 5.717594e+04
omega 1.605338e+07
alpha[1] 5.337998e-01
beta[1] 0.000000e+00
Name: params, dtype: float64, 'loglikelihood': -140.67292268119235, 'aic': 289.3458453623847, 'bic': np.float64(291.9020746808457)}, 25: {'params': mu 5.307699e+04
omega 2.737143e+06
alpha[1] 9.741548e-01
beta[1] 0.000000e+00
Name: params, dtype: float64, 'loglikelihood': -128.43139823034613, 'aic': 264.86279646069227, 'bic': np.float64(267.4190257791533)}, 30: {'params': mu 50945.789819
omega 603099.400590
alpha[1] 0.950377
beta[1] 0.020011
Name: params, dtype: float64, 'loglikelihood': -119.92100942386325, 'aic': 247.8420188477265, 'bic': np.float64(250.39824816618753)}, 35: {'params': mu 4.841570e+04
omega 5.536779e+06
alpha[1] 6.449223e-01
beta[1] 0.000000e+00
Name: params, dtype: float64, 'loglikelihood': -131.89240308904687, 'aic': 271.78480617809373, 'bic': np.float64(274.34103549655475)}, 40: {'params': mu 4.519157e+04
omega 3.611449e+06
alpha[1] 5.206612e-01
beta[1] 3.169762e-16
Name: params, dtype: float64, 'loglikelihood': -129.39688212612225, 'aic': 266.7937642522445, 'bic': np.float64(269.3499935707055)}, 45: {'params': mu 43005.022063
omega 384543.794768
alpha[1] 0.952040
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -112.33040110032677, 'aic': 232.66080220065354, 'bic': np.float64(235.21703151911456)}, 50: {'params': mu 41794.379464
omega 875570.177985
alpha[1] 0.260785
beta[1] 0.217029
Name: params, dtype: float64, 'loglikelihood': -120.38027616616154, 'aic': 248.76055233232307, 'bic': np.float64(251.3167816507841)}, 55: {'params': mu 4.149023e+04
omega 6.874727e+05
alpha[1] 6.092566e-01
beta[1] 8.948754e-14
Name: params, dtype: float64, 'loglikelihood': -118.26178620624081, 'aic': 244.52357241248163, 'bic': np.float64(247.07980173094265)}, 60: {'params': mu 4.199692e+04
omega 1.340747e+06
alpha[1] 2.255141e-17
beta[1] 4.860995e-01
Name: params, dtype: float64, 'loglikelihood': -123.48855198642379, 'aic': 254.97710397284757, 'bic': np.float64(257.5333332913086)}, 65: {'params': mu 4.376877e+04
omega 1.788310e+06
alpha[1] 5.180393e-01
beta[1] 0.000000e+00
Name: params, dtype: float64, 'loglikelihood': -125.08994249928341, 'aic': 258.1798849985668, 'bic': np.float64(260.73611431702784)}, 70: {'params': mu 44405.286271
omega 718368.294201
alpha[1] 0.743148
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -121.46034211956463, 'aic': 250.92068423912926, 'bic': np.float64(253.47691355759028)}, 75: {'params': mu 43840.903422
omega 992099.908898
alpha[1] 0.579504
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -120.00417958871805, 'aic': 248.0083591774361, 'bic': np.float64(250.5645884958971)}, 80: {'params': mu 43241.572473
omega 219687.085896
alpha[1] 0.139190
beta[1] 0.529783
Name: params, dtype: float64, 'loglikelihood': -114.22236569568358, 'aic': 236.44473139136716, 'bic': np.float64(239.00096070982818)}, 85: {'params': mu 42914.691896
omega 60061.924779
alpha[1] 0.000000
beta[1] 0.925576
Name: params, dtype: float64, 'loglikelihood': -112.89095174377063, 'aic': 233.78190348754126, 'bic': np.float64(236.33813280600228)}, 90: {'params': mu 4.283241e+04
omega 3.528771e+05
alpha[1] 2.482389e-15
beta[1] 5.116833e-01
Name: params, dtype: float64, 'loglikelihood': -114.12975428008357, 'aic': 236.25950856016715, 'bic': np.float64(238.81573787862817)}, 95: {'params': mu 42698.521293
omega 259752.183505
alpha[1] 0.000000
beta[1] 0.722463
Name: params, dtype: float64, 'loglikelihood': -115.5277092718698, 'aic': 239.0554185437396, 'bic': np.float64(241.6116478622006)}, 100: {'params': mu 42487.573401
omega 641373.582184
alpha[1] 0.468206
beta[1] 0.383615
Name: params, dtype: float64, 'loglikelihood': -121.10806912762642, 'aic': 250.21613825525284, 'bic': np.float64(252.77236757371386)}, 105: {'params': mu 4.096943e+04
omega 3.652792e+06
alpha[1] 5.656555e-01
beta[1] 1.972662e-15
Name: params, dtype: float64, 'loglikelihood': -130.10513164940738, 'aic': 268.21026329881477, 'bic': np.float64(270.7664926172758)}, 110: {'params': mu 3.874862e+04
omega 1.144931e+06
alpha[1] 8.445212e-01
beta[1] 0.000000e+00
Name: params, dtype: float64, 'loglikelihood': -123.26480542320974, 'aic': 254.52961084641947, 'bic': np.float64(257.0858401648805)}, 115: {'params': mu 37291.871956
omega 95759.545471
alpha[1] 0.000000
beta[1] 0.727370
Name: params, dtype: float64, 'loglikelihood': -108.52498100847514, 'aic': 225.04996201695027, 'bic': np.float64(227.6061913354113)}, 120: {'params': mu 3.693730e+04
omega 2.597291e+05
alpha[1] 3.295975e-16
beta[1] 4.945907e-01
Name: params, dtype: float64, 'loglikelihood': -111.9894661067371, 'aic': 231.9789322134742, 'bic': np.float64(234.53516153193522)}, 125: {'params': mu 36665.535918
omega 268018.648886
alpha[1] 0.451452
beta[1] 0.065262
Name: params, dtype: float64, 'loglikelihood': -112.08191529061939, 'aic': 232.16383058123878, 'bic': np.float64(234.7200598996998)}, 130: {'params': mu 3.599723e+04
omega 5.210378e+05
alpha[1] 1.439820e-16
beta[1] 4.602933e-01
Name: params, dtype: float64, 'loglikelihood': -116.82328251226821, 'aic': 241.64656502453641, 'bic': np.float64(244.20279434299744)}, 135: {'params': mu 35214.652226
omega 352419.823849
alpha[1] 0.836772
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -111.71008459008533, 'aic': 231.42016918017066, 'bic': np.float64(233.97639849863168)}, 140: {'params': mu 34457.714514
omega 171226.170611
alpha[1] 0.000000
beta[1] 0.507965
Name: params, dtype: float64, 'loglikelihood': -109.06721219860145, 'aic': 226.1344243972029, 'bic': np.float64(228.69065371566393)}, 145: {'params': mu 3.241895e+04
omega 1.688045e+06
alpha[1] 5.596993e-01
beta[1] 1.970728e-01
Name: params, dtype: float64, 'loglikelihood': -127.94010863676274, 'aic': 263.8802172735255, 'bic': np.float64(266.4364465919865)}, 150: {'params': mu 3.000117e+04
omega 3.542922e+06
alpha[1] 6.033921e-01
beta[1] 3.062688e-15
Name: params, dtype: float64, 'loglikelihood': -128.55534383672125, 'aic': 265.1106876734425, 'bic': np.float64(267.6669169919035)}, 155: {'params': mu 27925.401366
omega 503371.958177
alpha[1] 0.528309
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -115.33431407167984, 'aic': 238.66862814335968, 'bic': np.float64(241.2248574618207)}, 160: {'params': mu 27460.562866
omega 25496.834216
alpha[1] 0.064619
beta[1] 0.740242
Name: params, dtype: float64, 'loglikelihood': -106.30570944024134, 'aic': 220.6114188804827, 'bic': np.float64(223.1676481989437)}, 165: {'params': mu 27476.732189
omega 77486.953166
alpha[1] 0.226057
beta[1] 0.251808
Name: params, dtype: float64, 'loglikelihood': -103.48787235623436, 'aic': 214.97574471246872, 'bic': np.float64(217.53197403092975)}, 170: {'params': mu 2.704713e+04
omega 1.883785e+05
alpha[1] 2.931683e-16
beta[1] 4.830591e-01
Name: params, dtype: float64, 'loglikelihood': -109.73650505356053, 'aic': 227.47301010712107, 'bic': np.float64(230.0292394255821)}, 175: {'params': mu 26774.111869
omega 63340.188357
alpha[1] 0.000000
beta[1] 0.579106
Name: params, dtype: float64, 'loglikelihood': -105.08671153262097, 'aic': 218.17342306524193, 'bic': np.float64(220.72965238370296)}, 180: {'params': mu 2.657439e+04
omega 4.197571e+04
alpha[1] 4.131307e-01
beta[1] 1.071187e-16
Name: params, dtype: float64, 'loglikelihood': -98.7066442006389, 'aic': 205.4132884012778, 'bic': np.float64(207.96951771973883)}, 185: {'params': mu 26339.942930
omega 145199.409082
alpha[1] 0.000000
beta[1] 0.499743
Name: params, dtype: float64, 'loglikelihood': -107.91820877111164, 'aic': 223.83641754222327, 'bic': np.float64(226.3926468606843)}, 190: {'params': mu 26011.013347
omega 14022.895204
alpha[1] 0.000000
beta[1] 0.823389
Name: params, dtype: float64, 'loglikelihood': -102.18283695540788, 'aic': 212.36567391081576, 'bic': np.float64(214.92190322927678)}, 195: {'params': mu 26074.423813
omega 199149.234772
alpha[1] 0.697717
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -107.7420659579308, 'aic': 223.4841319158616, 'bic': np.float64(226.04036123432263)}, 200: {'params': mu 2.617467e+04
omega 1.601688e+05
alpha[1] 5.849932e-01
beta[1] 1.278047e-11
Name: params, dtype: float64, 'loglikelihood': -106.68442802267737, 'aic': 221.36885604535473, 'bic': np.float64(223.92508536381575)}, 205: {'params': mu 2.629468e+04
omega 1.356564e+05
alpha[1] 7.153753e-01
beta[1] 1.011643e-12
Name: params, dtype: float64, 'loglikelihood': -104.74216441329742, 'aic': 217.48432882659483, 'bic': np.float64(220.04055814505585)}, 210: {'params': mu 26805.798334
omega 450004.182367
alpha[1] 0.495642
beta[1] 0.277014
Name: params, dtype: float64, 'loglikelihood': -117.41740769199068, 'aic': 242.83481538398135, 'bic': np.float64(245.39104470244237)}, 215: {'params': mu 2.797639e+04
omega 1.221893e+06
alpha[1] 5.003590e-01
beta[1] 0.000000e+00
Name: params, dtype: float64, 'loglikelihood': -122.6226537693088, 'aic': 253.2453075386176, 'bic': np.float64(255.80153685707862)}, 220: {'params': mu 29290.186269
omega 158578.004814
alpha[1] 1.000000
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -106.5425586384878, 'aic': 221.0851172769756, 'bic': np.float64(223.64134659543663)}, 225: {'params': mu 2.933584e+04
omega 2.471688e+04
alpha[1] 1.826664e-15
beta[1] 5.247617e-01
Name: params, dtype: float64, 'loglikelihood': -95.50966022890923, 'aic': 199.01932045781845, 'bic': np.float64(201.57554977627947)}, 230: {'params': mu 2.925146e+04
omega 1.198323e+04
alpha[1] 2.747282e-14
beta[1] 5.126373e-01
Name: params, dtype: float64, 'loglikelihood': -90.46411086607534, 'aic': 188.9282217321507, 'bic': np.float64(191.4844510506117)}, 235: {'params': mu 29414.740155
omega 45445.363825
alpha[1] 0.722766
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -99.07157680250337, 'aic': 206.14315360500675, 'bic': np.float64(208.69938292346777)}, 240: {'params': mu 2.985775e+04
omega 7.436811e+04
alpha[1] 7.106037e-01
beta[1] 1.107775e-14
Name: params, dtype: float64, 'loglikelihood': -101.55487347638639, 'aic': 211.10974695277278, 'bic': np.float64(213.6659762712338)}, 245: {'params': mu 3.023081e+04
omega 8.935844e+04
alpha[1] 7.133183e-15
beta[1] 5.237450e-01
Name: params, dtype: float64, 'loglikelihood': -104.48985854804134, 'aic': 216.97971709608268, 'bic': np.float64(219.5359464145437)}, 250: {'params': mu 3.035506e+04
omega 6.698765e+04
alpha[1] 3.324651e-14
beta[1] 4.927207e-01
Name: params, dtype: float64, 'loglikelihood': -102.4983121612739, 'aic': 212.9966243225478, 'bic': np.float64(215.55285364100882)}, 255: {'params': mu 3.055122e+04
omega 4.229611e+04
alpha[1] 2.405021e-14
beta[1] 6.049441e-01
Name: params, dtype: float64, 'loglikelihood': -102.49407971981468, 'aic': 212.98815943962936, 'bic': np.float64(215.54438875809038)}, 260: {'params': mu 3.047171e+04
omega 8.512411e+03
alpha[1] 4.225960e-14
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omega 9042.202173
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Name: params, dtype: float64, 'loglikelihood': -92.03125279568917, 'aic': 192.06250559137834, 'bic': np.float64(194.61873490983936)}, 1860: {'params': mu 3618.639089
omega 9394.401710
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Name: params, dtype: float64, 'loglikelihood': -86.03151984391774, 'aic': 180.06303968783547, 'bic': np.float64(182.6192690062965)}, 1865: {'params': mu 3506.806213
omega 4862.840476
alpha[1] 0.579100
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Name: params, dtype: float64, 'loglikelihood': -83.52397943907609, 'aic': 175.04795887815217, 'bic': np.float64(177.6041881966132)}, 1870: {'params': mu 3468.885523
omega 1995.132721
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Name: params, dtype: float64, 'loglikelihood': -77.47871298075975, 'aic': 162.9574259615195, 'bic': np.float64(165.51365527998053)}, 1875: {'params': mu 3479.824817
omega 1048.229125
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Name: params, dtype: float64, 'loglikelihood': -76.2800457357375, 'aic': 160.560091471475, 'bic': np.float64(163.11632078993603)}, 1880: {'params': mu 3.573324e+03
omega 2.354245e+03
alpha[1] 7.627839e-01
beta[1] 2.297996e-15
Name: params, dtype: float64, 'loglikelihood': -77.05243322433641, 'aic': 162.10486644867282, 'bic': np.float64(164.66109576713384)}, 1885: {'params': mu 3.582958e+03
omega 5.970052e+02
alpha[1] 2.518022e-15
beta[1] 7.432015e-01
Name: params, dtype: float64, 'loglikelihood': -72.8964232205756, 'aic': 153.7928464411512, 'bic': np.float64(156.34907575961222)}, 1890: {'params': mu 3639.210718
omega 7910.316001
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Name: params, dtype: float64, 'loglikelihood': -89.46462155710898, 'aic': 186.92924311421797, 'bic': np.float64(189.485472432679)}, 1895: {'params': mu 3764.170726
omega 14751.012524
alpha[1] 0.559585
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Name: params, dtype: float64, 'loglikelihood': -91.49935418292104, 'aic': 190.99870836584208, 'bic': np.float64(193.5549376843031)}, 1900: {'params': mu 3792.878361
omega 3981.488553
alpha[1] 0.692450
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Name: params, dtype: float64, 'loglikelihood': -84.4827187142191, 'aic': 176.9654374284382, 'bic': np.float64(179.52166674689923)}, 1905: {'params': mu 3804.101791
omega 1040.406816
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Name: params, dtype: float64, 'loglikelihood': -83.9790027271733, 'aic': 175.9580054543466, 'bic': np.float64(178.5142347728076)}, 1910: {'params': mu 3.818056e+03
omega 5.810229e+03
alpha[1] 1.009609e-15
beta[1] 7.298354e-01
Name: params, dtype: float64, 'loglikelihood': -88.90098890862242, 'aic': 185.80197781724485, 'bic': np.float64(188.35820713570587)}, 1915: {'params': mu 3667.074024
omega 43144.809727
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Name: params, dtype: float64, 'loglikelihood': -99.3273800678048, 'aic': 206.6547601356096, 'bic': np.float64(209.2109894540706)}, 1920: {'params': mu 3438.457305
omega 16543.105837
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Name: params, dtype: float64, 'loglikelihood': -93.33662976812205, 'aic': 194.6732595362441, 'bic': np.float64(197.22948885470512)}, 1925: {'params': mu 3440.973121
omega 25125.623152
alpha[1] 0.715371
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Name: params, dtype: float64, 'loglikelihood': -92.98318063244565, 'aic': 193.9663612648913, 'bic': np.float64(196.52259058335233)}, 1930: {'params': mu 3813.070991
omega 54571.301019
alpha[1] 0.381550
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Name: params, dtype: float64, 'loglikelihood': -100.91006142710285, 'aic': 209.8201228542057, 'bic': np.float64(212.3763521726667)}, 1935: {'params': mu 4.012773e+03
omega 2.645259e+04
alpha[1] 4.857226e-17
beta[1] 4.274718e-01
Name: params, dtype: float64, 'loglikelihood': -95.86192178890695, 'aic': 199.7238435778139, 'bic': np.float64(202.28007289627493)}, 1940: {'params': mu 4164.038830
omega 107389.733202
alpha[1] 1.000000
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Name: params, dtype: float64, 'loglikelihood': -102.97277107565728, 'aic': 213.94554215131456, 'bic': np.float64(216.50177146977558)}, 1945: {'params': mu 4966.246415
omega 322236.592674
alpha[1] 0.615940
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Name: params, dtype: float64, 'loglikelihood': -112.87016456475142, 'aic': 233.74032912950284, 'bic': np.float64(236.29655844796386)}, 1950: {'params': mu 5.796303e+03
omega 2.264346e+05
alpha[1] 5.862035e-01
beta[1] 9.945341e-14
Name: params, dtype: float64, 'loglikelihood': -109.32224415488682, 'aic': 226.64448830977364, 'bic': np.float64(229.20071762823466)}, 1955: {'params': mu 6441.207799
omega 27409.832289
alpha[1] 1.000000
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Name: params, dtype: float64, 'loglikelihood': -93.41669978328177, 'aic': 194.83339956656354, 'bic': np.float64(197.38962888502456)}, 1960: {'params': mu 6424.635316
omega 2005.204282
alpha[1] 0.778590
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -77.2039815326684, 'aic': 162.4079630653368, 'bic': np.float64(164.9641923837978)}, 1965: {'params': mu 6454.672060
omega 2235.023177
alpha[1] 0.553986
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Name: params, dtype: float64, 'loglikelihood': -77.96689993912005, 'aic': 163.9337998782401, 'bic': np.float64(166.49002919670113)}, 1970: {'params': mu 6515.346262
omega 3458.698195
alpha[1] 0.684379
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Name: params, dtype: float64, 'loglikelihood': -79.09386260896186, 'aic': 166.1877252179237, 'bic': np.float64(168.74395453638473)}, 1975: {'params': mu 6528.885036
omega 897.418640
alpha[1] 1.000000
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Name: params, dtype: float64, 'loglikelihood': -78.66794957563435, 'aic': 165.3358991512687, 'bic': np.float64(167.89212846972973)}, 1980: {'params': mu 6.566333e+03
omega 7.279806e+03
alpha[1] 7.978446e-01
beta[1] 5.562920e-14
Name: params, dtype: float64, 'loglikelihood': -87.86922079769163, 'aic': 183.73844159538325, 'bic': np.float64(186.29467091384427)}, 1985: {'params': mu 6601.494208
omega 8025.820519
alpha[1] 0.881010
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -88.19731836445499, 'aic': 184.39463672890997, 'bic': np.float64(186.950866047371)}, 1990: {'params': mu 6604.813261
omega 4761.224321
alpha[1] 0.954524
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Name: params, dtype: float64, 'loglikelihood': -82.13695304127518, 'aic': 172.27390608255035, 'bic': np.float64(174.83013540101138)}, 1995: {'params': mu 6596.558627
omega 2177.257243
alpha[1] 0.494966
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Name: params, dtype: float64, 'loglikelihood': -77.40941930201912, 'aic': 162.81883860403823, 'bic': np.float64(165.37506792249926)}, 2000: {'params': mu 6614.633674
omega 1183.248389
alpha[1] 0.918690
beta[1] 0.081310
Name: params, dtype: float64, 'loglikelihood': -83.32827841293694, 'aic': 174.65655682587388, 'bic': np.float64(177.2127861443349)}, 2005: {'params': mu 6525.906193
omega 10794.586828
alpha[1] 0.571336
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -89.24908194362935, 'aic': 186.4981638872587, 'bic': np.float64(189.05439320571972)}, 2010: {'params': mu 6.409957e+03
omega 1.216347e+04
alpha[1] 6.144564e-01
beta[1] 9.804049e-14
Name: params, dtype: float64, 'loglikelihood': -89.03103850751013, 'aic': 186.06207701502026, 'bic': np.float64(188.61830633348129)}, 2015: {'params': mu 6471.598735
omega 8177.675071
alpha[1] 0.000000
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Name: params, dtype: float64, 'loglikelihood': -98.10157849974783, 'aic': 204.20315699949566, 'bic': np.float64(206.75938631795668)}, 2020: {'params': mu 6.724293e+03
omega 9.313891e+04
alpha[1] 3.469447e-17
beta[1] 5.039376e-01
Name: params, dtype: float64, 'loglikelihood': -104.80973668572541, 'aic': 217.61947337145082, 'bic': np.float64(220.17570268991184)}, 2025: {'params': mu 7013.242193
omega 24739.854839
alpha[1] 0.868335
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Name: params, dtype: float64, 'loglikelihood': -96.84661827665398, 'aic': 201.69323655330797, 'bic': np.float64(204.249465871769)}, 2030: {'params': mu 6805.114551
omega 46669.094526
alpha[1] 0.694760
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Name: params, dtype: float64, 'loglikelihood': -98.94851149669101, 'aic': 205.89702299338202, 'bic': np.float64(208.45325231184304)}, 2035: {'params': mu 6.470283e+03
omega 2.766824e+04
alpha[1] 6.894879e-01
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Name: params, dtype: float64, 'loglikelihood': -95.32377427757308, 'aic': 198.64754855514616, 'bic': np.float64(201.20377787360718)}, 2040: {'params': mu 6.341386e+03
omega 7.996093e+03
alpha[1] 3.354955e-15
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Name: params, dtype: float64, 'loglikelihood': -87.62202245750322, 'aic': 183.24404491500644, 'bic': np.float64(185.80027423346746)}, 2045: {'params': mu 6357.964395
omega 22019.380135
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Name: params, dtype: float64, 'loglikelihood': -95.75214057889119, 'aic': 199.50428115778237, 'bic': np.float64(202.0605104762434)}, 2050: {'params': mu 6.841058e+03
omega 1.482086e+05
alpha[1] 6.088612e-01
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Name: params, dtype: float64, 'loglikelihood': -107.15301385280523, 'aic': 222.30602770561046, 'bic': np.float64(224.86225702407148)}, 2055: {'params': mu 7.502510e+03
omega 1.819340e+05
alpha[1] 5.818676e-01
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Name: params, dtype: float64, 'loglikelihood': -108.49659376348866, 'aic': 224.99318752697732, 'bic': np.float64(227.54941684543834)}, 2060: {'params': mu 7869.021195
omega 12003.666312
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Name: params, dtype: float64, 'loglikelihood': -101.72021304436021, 'aic': 211.44042608872041, 'bic': np.float64(213.99665540718144)}, 2065: {'params': mu 7.710800e+03
omega 1.106865e+05
alpha[1] 1.527498e-15
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Name: params, dtype: float64, 'loglikelihood': -106.02029403350177, 'aic': 220.04058806700354, 'bic': np.float64(222.59681738546456)}, 2070: {'params': mu 7049.383560
omega 212889.122637
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Name: params, dtype: float64, 'loglikelihood': -109.82778099668646, 'aic': 227.6555619933729, 'bic': np.float64(230.21179131183393)}, 2075: {'params': mu 6623.973957
omega 17498.156006
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Name: params, dtype: float64, 'loglikelihood': -101.08601488629245, 'aic': 210.1720297725849, 'bic': np.float64(212.7282590910459)}, 2080: {'params': mu 6524.316529
omega 15901.744121
alpha[1] 0.578776
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Name: params, dtype: float64, 'loglikelihood': -91.59496424532941, 'aic': 191.18992849065882, 'bic': np.float64(193.74615780911984)}, 2085: {'params': mu 6557.208686
omega 32719.834130
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Name: params, dtype: float64, 'loglikelihood': -95.64289403211461, 'aic': 199.28578806422922, 'bic': np.float64(201.84201738269024)}, 2090: {'params': mu 6299.507049
omega 27998.898903
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Name: params, dtype: float64, 'loglikelihood': -96.397173906948, 'aic': 200.794347813896, 'bic': np.float64(203.35057713235702)}, 2095: {'params': mu 6349.972198
omega 41557.097989
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Name: params, dtype: float64, 'loglikelihood': -99.13864584148229, 'aic': 206.27729168296457, 'bic': np.float64(208.8335210014256)}, 2100: {'params': mu 6539.522911
omega 18848.193817
alpha[1] 0.385519
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Name: params, dtype: float64, 'loglikelihood': -96.44085089009863, 'aic': 200.88170178019726, 'bic': np.float64(203.43793109865828)}, 2105: {'params': mu 6894.540353
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Name: params, dtype: float64, 'loglikelihood': -105.69231700524804, 'aic': 219.3846340104961, 'bic': np.float64(221.9408633289571)}, 2110: {'params': mu 7584.340207
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Name: params, dtype: float64, 'loglikelihood': -102.30217316246201, 'aic': 212.60434632492402, 'bic': np.float64(215.16057564338504)}, 2115: {'params': mu 7.528262e+03
omega 7.180419e+03
alpha[1] 3.572399e-15
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Name: params, dtype: float64, 'loglikelihood': -90.30370176044256, 'aic': 188.60740352088513, 'bic': np.float64(191.16363283934615)}, 2120: {'params': mu 7515.543796
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Name: params, dtype: float64, 'loglikelihood': -93.51336313643867, 'aic': 195.02672627287734, 'bic': np.float64(197.58295559133836)}, 2125: {'params': mu 7770.713974
omega 97686.409417
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Name: params, dtype: float64, 'loglikelihood': -105.06550565460765, 'aic': 218.1310113092153, 'bic': np.float64(220.68724062767632)}, 2130: {'params': mu 8.299150e+03
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Name: params, dtype: float64, 'loglikelihood': -101.74886601085753, 'aic': 211.49773202171505, 'bic': np.float64(214.05396134017607)}, 2135: {'params': mu 8.533761e+03
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alpha[1] 7.381775e-01
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Name: params, dtype: float64, 'loglikelihood': -102.31183049816295, 'aic': 212.6236609963259, 'bic': np.float64(215.17989031478692)}, 2140: {'params': mu 9.135488e+03
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alpha[1] 5.321206e-01
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Name: params, dtype: float64, 'loglikelihood': -106.36172712734123, 'aic': 220.72345425468245, 'bic': np.float64(223.27968357314347)}, 2145: {'params': mu 9.372328e+03
omega 3.695861e+04
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Name: params, dtype: float64, 'loglikelihood': -98.33999488064917, 'aic': 204.67998976129834, 'bic': np.float64(207.23621907975937)}, 2150: {'params': mu 9296.299642
omega 55098.201756
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Name: params, dtype: float64, 'loglikelihood': -100.80874690074886, 'aic': 209.61749380149772, 'bic': np.float64(212.17372311995874)}, 2155: {'params': mu 8906.200296
omega 113714.779018
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Name: params, dtype: float64, 'loglikelihood': -105.7576173731789, 'aic': 219.5152347463578, 'bic': np.float64(222.07146406481883)}, 2160: {'params': mu 8.478412e+03
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alpha[1] 2.879527e-16
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Name: params, dtype: float64, 'loglikelihood': -107.16246661367327, 'aic': 222.32493322734655, 'bic': np.float64(224.88116254580757)}, 2165: {'params': mu 7.716575e+03
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alpha[1] 5.686686e-01
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Name: params, dtype: float64, 'loglikelihood': -109.99233214811002, 'aic': 227.98466429622005, 'bic': np.float64(230.54089361468107)}, 2170: {'params': mu 6.982437e+03
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alpha[1] 8.860270e-01
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Name: params, dtype: float64, 'loglikelihood': -105.59555108426406, 'aic': 219.19110216852812, 'bic': np.float64(221.74733148698914)}, 2175: {'params': mu 6998.701387
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Name: params, dtype: float64, 'loglikelihood': -100.22984569126945, 'aic': 208.4596913825389, 'bic': np.float64(211.0159207009999)}, 2180: {'params': mu 7.547648e+03
omega 2.586810e+05
alpha[1] 6.045418e-01
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Name: params, dtype: float64, 'loglikelihood': -111.11442513881191, 'aic': 230.22885027762382, 'bic': np.float64(232.78507959608484)}, 2185: {'params': mu 8.151539e+03
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alpha[1] 5.052223e-01
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Name: params, dtype: float64, 'loglikelihood': -110.24003054780768, 'aic': 228.48006109561535, 'bic': np.float64(231.03629041407638)}, 2190: {'params': mu 8.516972e+03
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alpha[1] 4.712933e-16
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Name: params, dtype: float64, 'loglikelihood': -102.04317946572405, 'aic': 212.0863589314481, 'bic': np.float64(214.64258824990912)}, 2195: {'params': mu 8741.178442
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Name: params, dtype: float64, 'loglikelihood': -106.44127266093786, 'aic': 220.8825453218757, 'bic': np.float64(223.43877464033673)}, 2200: {'params': mu 9.613734e+03
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alpha[1] 6.097304e-01
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Name: params, dtype: float64, 'loglikelihood': -116.5900364195817, 'aic': 241.1800728391634, 'bic': np.float64(243.7363021576244)}, 2205: {'params': mu 1.032013e+04
omega 3.457242e+05
alpha[1] 5.195639e-01
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Name: params, dtype: float64, 'loglikelihood': -113.24599415727758, 'aic': 234.49198831455516, 'bic': np.float64(237.04821763301618)}, 2210: {'params': mu 1.053891e+04
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alpha[1] 4.230496e-17
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alpha[1] 2.227385e-15
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Name: params, dtype: float64, 'loglikelihood': -107.07038927510233, 'aic': 222.14077855020466, 'bic': np.float64(224.69700786866568)}, 2220: {'params': mu 9949.059121
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Name: params, dtype: float64, 'loglikelihood': -111.2556716456532, 'aic': 230.5113432913064, 'bic': np.float64(233.0675726097674)}, 2235: {'params': mu 9.255338e+03
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alpha[1] 6.362971e-01
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alpha[1] 0.548991
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alpha[1] 5.154037e-14
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Name: params, dtype: float64, 'loglikelihood': -108.68929685614549, 'aic': 225.37859371229098, 'bic': np.float64(227.934823030752)}, 2250: {'params': mu 12130.603083
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Name: params, dtype: float64, 'loglikelihood': -118.39352980591183, 'aic': 244.78705961182365, 'bic': np.float64(247.34328893028467)}, 2255: {'params': mu 1.345513e+04
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alpha[1] 6.188858e-01
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omega 54666.931800
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Name: params, dtype: float64, 'loglikelihood': -224.4941038854438, 'aic': 456.9882077708876, 'bic': np.float64(462.3170258115884)}, 1765: {'params': mu 6.801561e+03
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omega 7.686013e+04
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omega 1.157758e+04
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Name: params, dtype: float64, 'loglikelihood': -188.65820482283607, 'aic': 385.31640964567214, 'bic': np.float64(390.64522768637295)}, 1785: {'params': mu 5264.899253
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omega 9.746690e+03
alpha[1] 6.642059e-01
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Name: params, dtype: float64, 'loglikelihood': -175.45911857442798, 'aic': 358.91823714885595, 'bic': np.float64(364.24705518955676)}, 1795: {'params': mu 5.178794e+03
omega 4.651765e+04
alpha[1] 1.000000e+00
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Name: params, dtype: float64, 'loglikelihood': -195.00763466608421, 'aic': 398.01526933216843, 'bic': np.float64(403.34408737286924)}, 1800: {'params': mu 5.139162e+03
omega 2.618257e+04
alpha[1] 1.000000e+00
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Name: params, dtype: float64, 'loglikelihood': -201.07715683967496, 'aic': 410.1543136793499, 'bic': np.float64(415.4831317200507)}, 1805: {'params': mu 4550.137716
omega 83518.987162
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Name: params, dtype: float64, 'loglikelihood': -214.94279913857304, 'aic': 437.8855982771461, 'bic': np.float64(443.2144163178469)}, 1810: {'params': mu 4.019237e+03
omega 2.564476e+04
alpha[1] 9.820231e-01
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Name: params, dtype: float64, 'loglikelihood': -194.20241414063747, 'aic': 396.40482828127494, 'bic': np.float64(401.73364632197575)}, 1815: {'params': mu 3.988943e+03
omega 1.155268e+04
alpha[1] 9.005202e-01
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Name: params, dtype: float64, 'loglikelihood': -177.63641154498188, 'aic': 363.27282308996377, 'bic': np.float64(368.6016411306646)}, 1820: {'params': mu 3.984970e+03
omega 2.363146e+03
alpha[1] 9.723019e-01
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Name: params, dtype: float64, 'loglikelihood': -160.71533680889777, 'aic': 329.43067361779555, 'bic': np.float64(334.75949165849636)}, 1825: {'params': mu 3908.308855
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Name: params, dtype: float64, 'loglikelihood': -161.17721182370462, 'aic': 330.35442364740925, 'bic': np.float64(335.68324168811006)}, 1830: {'params': mu 3.878740e+03
omega 4.120748e+03
alpha[1] 6.567993e-01
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Name: params, dtype: float64, 'loglikelihood': -163.95425365731148, 'aic': 335.90850731462297, 'bic': np.float64(341.2373253553238)}, 1835: {'params': mu 3.875106e+03
omega 7.754224e+02
alpha[1] 2.607398e-16
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Name: params, dtype: float64, 'loglikelihood': -164.54623377264565, 'aic': 337.0924675452913, 'bic': np.float64(342.4212855859921)}, 1840: {'params': mu 3839.451927
omega 4886.711411
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Name: params, dtype: float64, 'loglikelihood': -170.70829778519246, 'aic': 349.4165955703849, 'bic': np.float64(354.7454136110857)}, 1845: {'params': mu 3782.363642
omega 2248.072174
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Name: params, dtype: float64, 'loglikelihood': -179.32119439522316, 'aic': 366.6423887904463, 'bic': np.float64(371.97120683114713)}, 1850: {'params': mu 3703.839234
omega 17338.271600
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Name: params, dtype: float64, 'loglikelihood': -185.16915416791812, 'aic': 378.33830833583625, 'bic': np.float64(383.66712637653706)}, 1855: {'params': mu 3536.847091
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Name: params, dtype: float64, 'loglikelihood': -182.15739439562066, 'aic': 372.3147887912413, 'bic': np.float64(377.6436068319421)}, 1860: {'params': mu 3562.298794
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Name: params, dtype: float64, 'loglikelihood': -170.7052444691913, 'aic': 349.4104889383826, 'bic': np.float64(354.73930697908344)}, 1865: {'params': mu 3561.058928
omega 3702.432114
alpha[1] 0.596691
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Name: params, dtype: float64, 'loglikelihood': -162.70460824950462, 'aic': 333.40921649900923, 'bic': np.float64(338.73803453971004)}, 1870: {'params': mu 3561.097454
omega 3301.762481
alpha[1] 0.624083
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Name: params, dtype: float64, 'loglikelihood': -161.4150123163607, 'aic': 330.8300246327214, 'bic': np.float64(336.1588426734222)}, 1875: {'params': mu 3558.689207
omega 8375.323490
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Name: params, dtype: float64, 'loglikelihood': -172.37803630952217, 'aic': 352.75607261904435, 'bic': np.float64(358.08489065974516)}, 1880: {'params': mu 3596.933019
omega 8044.570749
alpha[1] 0.462225
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Name: params, dtype: float64, 'loglikelihood': -177.22915460557874, 'aic': 362.4583092111575, 'bic': np.float64(367.7871272518583)}, 1885: {'params': mu 3662.530914
omega 11439.343467
alpha[1] 0.378480
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Name: params, dtype: float64, 'loglikelihood': -178.46237094694547, 'aic': 364.92474189389094, 'bic': np.float64(370.25355993459175)}, 1890: {'params': mu 3743.196796
omega 11676.398030
alpha[1] 0.229988
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Name: params, dtype: float64, 'loglikelihood': -180.17849683138158, 'aic': 368.35699366276316, 'bic': np.float64(373.68581170346397)}, 1895: {'params': mu 3808.964653
omega 7381.951965
alpha[1] 0.210010
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Name: params, dtype: float64, 'loglikelihood': -180.46381149947405, 'aic': 368.9276229989481, 'bic': np.float64(374.2564410396489)}, 1900: {'params': mu 3816.700782
omega 5090.247220
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Name: params, dtype: float64, 'loglikelihood': -184.67353803785363, 'aic': 377.34707607570726, 'bic': np.float64(382.6758941164081)}, 1905: {'params': mu 3.784582e+03
omega 1.653119e+04
alpha[1] 7.475092e-01
beta[1] 3.327965e-17
Name: params, dtype: float64, 'loglikelihood': -188.22648613311134, 'aic': 384.4529722662227, 'bic': np.float64(389.7817903069235)}, 1910: {'params': mu 3643.276479
omega 29623.492011
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Name: params, dtype: float64, 'loglikelihood': -193.15449594160262, 'aic': 394.30899188320524, 'bic': np.float64(399.63780992390605)}, 1915: {'params': mu 3711.525088
omega 47527.590480
alpha[1] 0.418581
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Name: params, dtype: float64, 'loglikelihood': -199.29911287751227, 'aic': 406.59822575502454, 'bic': np.float64(411.92704379572535)}, 1920: {'params': mu 3727.967114
omega 52511.310459
alpha[1] 0.410218
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Name: params, dtype: float64, 'loglikelihood': -200.87417096473948, 'aic': 409.74834192947895, 'bic': np.float64(415.07715997017976)}, 1925: {'params': mu 3870.601197
omega 62489.433584
alpha[1] 0.739122
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Name: params, dtype: float64, 'loglikelihood': -207.90769402268566, 'aic': 423.8153880453713, 'bic': np.float64(429.14420608607213)}, 1930: {'params': mu 4055.115574
omega 56210.050177
alpha[1] 0.984730
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Name: params, dtype: float64, 'loglikelihood': -211.83255297874086, 'aic': 431.6651059574817, 'bic': np.float64(436.99392399818254)}, 1935: {'params': mu 4.126649e+03
omega 9.651803e+04
alpha[1] 9.930605e-01
beta[1] 6.025645e-17
Name: params, dtype: float64, 'loglikelihood': -219.9643502916524, 'aic': 447.9287005833048, 'bic': np.float64(453.2575186240056)}, 1940: {'params': mu 5299.723617
omega 319166.220564
alpha[1] 0.715933
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Name: params, dtype: float64, 'loglikelihood': -231.9530456747307, 'aic': 471.9060913494614, 'bic': np.float64(477.2349093901622)}, 1945: {'params': mu 6.297888e+03
omega 2.591705e+05
alpha[1] 8.371512e-01
beta[1] 3.077718e-16
Name: params, dtype: float64, 'loglikelihood': -221.47670078480607, 'aic': 450.95340156961214, 'bic': np.float64(456.28221961031295)}, 1950: {'params': mu 6.428601e+03
omega 3.343921e+04
alpha[1] 1.000000e+00
beta[1] 6.931740e-15
Name: params, dtype: float64, 'loglikelihood': -194.2480235410381, 'aic': 396.4960470820762, 'bic': np.float64(401.824865122777)}, 1955: {'params': mu 6459.554020
omega 5657.293248
alpha[1] 0.989556
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Name: params, dtype: float64, 'loglikelihood': -170.69741204503953, 'aic': 349.39482409007906, 'bic': np.float64(354.72364213077987)}, 1960: {'params': mu 6.498127e+03
omega 4.766175e+03
alpha[1] 6.304011e-01
beta[1] 1.249437e-13
Name: params, dtype: float64, 'loglikelihood': -163.67198811816564, 'aic': 335.3439762363313, 'bic': np.float64(340.6727942770321)}, 1965: {'params': mu 6.479315e+03
omega 1.505233e+03
alpha[1] 1.000000e+00
beta[1] 2.664535e-15
Name: params, dtype: float64, 'loglikelihood': -169.04426914141447, 'aic': 346.08853828282895, 'bic': np.float64(351.41735632352976)}, 1970: {'params': mu 6541.381420
omega 5368.826395
alpha[1] 0.774392
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -170.96180316538275, 'aic': 349.9236063307655, 'bic': np.float64(355.2524243714663)}, 1975: {'params': mu 6565.348148
omega 4263.637565
alpha[1] 0.667627
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -164.81418277763157, 'aic': 337.62836555526314, 'bic': np.float64(342.95718359596395)}, 1980: {'params': mu 6.589287e+03
omega 4.683119e+03
alpha[1] 7.863850e-01
beta[1] 3.554263e-14
Name: params, dtype: float64, 'loglikelihood': -166.67641491966546, 'aic': 341.3528298393309, 'bic': np.float64(346.68164788003173)}, 1985: {'params': mu 6.603413e+03
omega 5.646767e+03
alpha[1] 8.362714e-01
beta[1] 1.464003e-17
Name: params, dtype: float64, 'loglikelihood': -170.8193845159965, 'aic': 349.638769031993, 'bic': np.float64(354.9675870726938)}, 1990: {'params': mu 6.604584e+03
omega 5.743863e+03
alpha[1] 9.607110e-01
beta[1] 1.214058e-16
Name: params, dtype: float64, 'loglikelihood': -172.24596989083832, 'aic': 352.49193978167665, 'bic': np.float64(357.82075782237746)}, 1995: {'params': mu 6570.012010
omega 8953.085894
alpha[1] 0.677514
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Name: params, dtype: float64, 'loglikelihood': -174.25158949744858, 'aic': 356.50317899489716, 'bic': np.float64(361.83199703559796)}, 2000: {'params': mu 6526.186125
omega 12442.505279
alpha[1] 0.554683
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Name: params, dtype: float64, 'loglikelihood': -180.17963315131755, 'aic': 368.3592663026351, 'bic': np.float64(373.6880843433359)}, 2005: {'params': mu 6.432599e+03
omega 1.093015e+04
alpha[1] 1.000000e+00
beta[1] 1.499070e-15
Name: params, dtype: float64, 'loglikelihood': -193.29226575480905, 'aic': 394.5845315096181, 'bic': np.float64(399.9133495503189)}, 2010: {'params': mu 6.472153e+03
omega 6.290826e+04
alpha[1] 6.989621e-01
beta[1] 2.351052e-13
Name: params, dtype: float64, 'loglikelihood': -201.87295652795584, 'aic': 411.74591305591167, 'bic': np.float64(417.0747310966125)}, 2015: {'params': mu 6502.026586
omega 61593.401993
alpha[1] 0.626360
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Name: params, dtype: float64, 'loglikelihood': -201.52106921746375, 'aic': 411.0421384349275, 'bic': np.float64(416.3709564756283)}, 2020: {'params': mu 6476.869564
omega 63830.923155
alpha[1] 0.636226
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Name: params, dtype: float64, 'loglikelihood': -202.19739584147987, 'aic': 412.39479168295975, 'bic': np.float64(417.72360972366056)}, 2025: {'params': mu 6477.145577
omega 65532.616563
alpha[1] 0.634959
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Name: params, dtype: float64, 'loglikelihood': -202.55790454796605, 'aic': 413.1158090959321, 'bic': np.float64(418.4446271366329)}, 2030: {'params': mu 6442.322191
omega 33266.624902
alpha[1] 0.830242
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Name: params, dtype: float64, 'loglikelihood': -197.9309586788808, 'aic': 403.8619173577616, 'bic': np.float64(409.19073539846244)}, 2035: {'params': mu 6.429750e+03
omega 1.647436e+04
alpha[1] 1.000000e+00
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Name: params, dtype: float64, 'loglikelihood': -197.87145095483328, 'aic': 403.74290190966656, 'bic': np.float64(409.07171995036737)}, 2040: {'params': mu 6.400584e+03
omega 4.929352e+04
alpha[1] 9.688933e-01
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Name: params, dtype: float64, 'loglikelihood': -207.49343936091736, 'aic': 422.9868787218347, 'bic': np.float64(428.31569676253554)}, 2045: {'params': mu 7141.303214
omega 181259.725127
alpha[1] 0.722769
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Name: params, dtype: float64, 'loglikelihood': -223.62451114347118, 'aic': 455.24902228694236, 'bic': np.float64(460.5778403276432)}, 2050: {'params': mu 7327.638376
omega 139106.770432
alpha[1] 0.745578
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Name: params, dtype: float64, 'loglikelihood': -216.6099640186555, 'aic': 441.219928037311, 'bic': np.float64(446.5487460780118)}, 2055: {'params': mu 7.339678e+03
omega 2.213971e+05
alpha[1] 6.685718e-01
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Name: params, dtype: float64, 'loglikelihood': -217.93558429542279, 'aic': 443.87116859084557, 'bic': np.float64(449.1999866315464)}, 2060: {'params': mu 7.298630e+03
omega 2.435610e+05
alpha[1] 5.930395e-01
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Name: params, dtype: float64, 'loglikelihood': -220.0007435520446, 'aic': 448.0014871040892, 'bic': np.float64(453.33030514479003)}, 2065: {'params': mu 7099.574126
omega 150053.857013
alpha[1] 0.675231
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Name: params, dtype: float64, 'loglikelihood': -220.01416449251488, 'aic': 448.02832898502976, 'bic': np.float64(453.35714702573057)}, 2070: {'params': mu 6535.579648
omega 32991.996118
alpha[1] 1.000000
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Name: params, dtype: float64, 'loglikelihood': -206.26367911806787, 'aic': 420.52735823613574, 'bic': np.float64(425.85617627683655)}, 2075: {'params': mu 6.403125e+03
omega 4.472108e+04
alpha[1] 7.567529e-01
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Name: params, dtype: float64, 'loglikelihood': -199.29377414355997, 'aic': 406.58754828711994, 'bic': np.float64(411.91636632782075)}, 2080: {'params': mu 6415.526316
omega 31001.329277
alpha[1] 0.533716
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Name: params, dtype: float64, 'loglikelihood': -193.54111897610986, 'aic': 395.0822379522197, 'bic': np.float64(400.4110559929205)}, 2085: {'params': mu 6.519530e+03
omega 3.023651e+04
alpha[1] 6.416094e-01
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Name: params, dtype: float64, 'loglikelihood': -191.32628888106805, 'aic': 390.6525777621361, 'bic': np.float64(395.9813958028369)}, 2090: {'params': mu 6459.743110
omega 58188.122414
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Name: params, dtype: float64, 'loglikelihood': -203.18010986417178, 'aic': 414.36021972834357, 'bic': np.float64(419.6890377690444)}, 2095: {'params': mu 6491.390304
omega 35545.561790
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Name: params, dtype: float64, 'loglikelihood': -212.1575452156341, 'aic': 432.3150904312682, 'bic': np.float64(437.643908471969)}, 2100: {'params': mu 6997.387068
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Name: params, dtype: float64, 'loglikelihood': -215.31164507073512, 'aic': 438.62329014147025, 'bic': np.float64(443.95210818217106)}, 2105: {'params': mu 7.528799e+03
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alpha[1] 8.224707e-01
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Name: params, dtype: float64, 'loglikelihood': -201.36648884325945, 'aic': 410.7329776865189, 'bic': np.float64(416.0617957272197)}, 2110: {'params': mu 7598.894766
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alpha[1] 0.777353
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Name: params, dtype: float64, 'loglikelihood': -216.37478608591246, 'aic': 440.7495721718249, 'bic': np.float64(446.07839021252573)}, 2125: {'params': mu 8421.003302
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Name: params, dtype: float64, 'loglikelihood': -218.6978443606911, 'aic': 445.3956887213822, 'bic': np.float64(450.724506762083)}, 2130: {'params': mu 8.764387e+03
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alpha[1] 7.000649e-01
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Name: params, dtype: float64, 'loglikelihood': -218.6041245590832, 'aic': 445.2082491181664, 'bic': np.float64(450.5370671588672)}, 2135: {'params': mu 9170.683193
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Name: params, dtype: float64, 'loglikelihood': -211.38278995675935, 'aic': 430.7655799135187, 'bic': np.float64(436.0943979542195)}, 2140: {'params': mu 9.150945e+03
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Name: params, dtype: float64, 'loglikelihood': -208.82047033089822, 'aic': 425.64094066179644, 'bic': np.float64(430.96975870249724)}, 2145: {'params': mu 9.196298e+03
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alpha[1] 8.315111e-01
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omega 79981.113510
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Name: params, dtype: float64, 'loglikelihood': -226.47921978374532, 'aic': 460.95843956749064, 'bic': np.float64(466.28725760819145)}, 2155: {'params': mu 8111.208595
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omega 2.208466e+05
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Name: params, dtype: float64, 'loglikelihood': -169.49337103813747, 'aic': 346.98674207627494, 'bic': np.float64(351.16483182716865)}, 1770: {'params': mu 6.690020e+03
omega 5.066466e+05
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Name: params, dtype: float64, 'loglikelihood': -174.04183510831575, 'aic': 356.0836702166315, 'bic': np.float64(360.2617599675252)}, 1775: {'params': mu 5696.667794
omega 261678.731192
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alpha[1] 9.003594e-01
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Name: params, dtype: float64, 'loglikelihood': -146.97383071600274, 'aic': 301.9476614320055, 'bic': np.float64(306.1257511828992)}, 1785: {'params': mu 5.287674e+03
omega 1.234345e+04
alpha[1] 9.583136e-01
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Name: params, dtype: float64, 'loglikelihood': -133.90248667558012, 'aic': 275.80497335116024, 'bic': np.float64(279.98306310205396)}, 1790: {'params': mu 5.264652e+03
omega 7.490292e+03
alpha[1] 7.819111e-01
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Name: params, dtype: float64, 'loglikelihood': -128.52597713215422, 'aic': 265.05195426430845, 'bic': np.float64(269.23004401520217)}, 1795: {'params': mu 5197.531294
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Name: params, dtype: float64, 'loglikelihood': -131.65491788608816, 'aic': 271.3098357721763, 'bic': np.float64(275.48792552307003)}, 1800: {'params': mu 5.141659e+03
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alpha[1] 1.000000e+00
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Name: params, dtype: float64, 'loglikelihood': -144.01630322807247, 'aic': 296.03260645614495, 'bic': np.float64(300.21069620703867)}, 1805: {'params': mu 5.069552e+03
omega 7.017860e+04
alpha[1] 1.000000e+00
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Name: params, dtype: float64, 'loglikelihood': -154.365495483965, 'aic': 316.73099096793, 'bic': np.float64(320.9090807188237)}, 1810: {'params': mu 4089.557570
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Name: params, dtype: float64, 'loglikelihood': -156.50167678760727, 'aic': 321.00335357521453, 'bic': np.float64(325.18144332610825)}, 1815: {'params': mu 4018.236539
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Name: params, dtype: float64, 'loglikelihood': -135.1814700770055, 'aic': 278.362940154011, 'bic': np.float64(282.54102990490475)}, 1820: {'params': mu 3992.595672
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Name: params, dtype: float64, 'loglikelihood': -114.85226868561874, 'aic': 237.70453737123748, 'bic': np.float64(241.88262712213117)}, 1825: {'params': mu 3.941627e+03
omega 9.945634e+02
alpha[1] 3.590878e-16
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Name: params, dtype: float64, 'loglikelihood': -114.84704778661427, 'aic': 237.69409557322854, 'bic': np.float64(241.87218532412223)}, 1830: {'params': mu 3887.728199
omega 3119.616993
alpha[1] 0.613738
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Name: params, dtype: float64, 'loglikelihood': -120.41695742563847, 'aic': 248.83391485127694, 'bic': np.float64(253.01200460217063)}, 1835: {'params': mu 3854.869146
omega 1924.720700
alpha[1] 0.000000
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Name: params, dtype: float64, 'loglikelihood': -116.26336527782324, 'aic': 240.52673055564648, 'bic': np.float64(244.70482030654017)}, 1840: {'params': mu 3.861823e+03
omega 3.626891e+03
alpha[1] 6.046999e-01
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Name: params, dtype: float64, 'loglikelihood': -122.33172804981268, 'aic': 252.66345609962536, 'bic': np.float64(256.8415458505191)}, 1845: {'params': mu 3.830662e+03
omega 4.930608e+03
alpha[1] 1.000000e+00
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Name: params, dtype: float64, 'loglikelihood': -128.63486439739268, 'aic': 265.26972879478535, 'bic': np.float64(269.44781854567907)}, 1850: {'params': mu 3778.628600
omega 10816.520070
alpha[1] 0.054921
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Name: params, dtype: float64, 'loglikelihood': -134.53861599595416, 'aic': 277.0772319919083, 'bic': np.float64(281.25532174280204)}, 1855: {'params': mu 3605.239208
omega 11465.160903
alpha[1] 1.000000
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Name: params, dtype: float64, 'loglikelihood': -137.79420331239348, 'aic': 283.58840662478696, 'bic': np.float64(287.7664963756807)}, 1860: {'params': mu 3.582171e+03
omega 9.725754e+03
alpha[1] 6.320969e-01
beta[1] 5.979553e-14
Name: params, dtype: float64, 'loglikelihood': -130.65143928977457, 'aic': 269.30287857954914, 'bic': np.float64(273.48096833044286)}, 1865: {'params': mu 3.487304e+03
omega 4.232671e+03
alpha[1] 6.192092e-01
beta[1] 8.089845e-16
Name: params, dtype: float64, 'loglikelihood': -122.71178493743496, 'aic': 253.4235698748699, 'bic': np.float64(257.6016596257636)}, 1870: {'params': mu 3511.100374
omega 1750.525948
alpha[1] 0.641084
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Name: params, dtype: float64, 'loglikelihood': -118.80744859415188, 'aic': 245.61489718830376, 'bic': np.float64(249.79298693919745)}, 1875: {'params': mu 3533.792106
omega 2378.958537
alpha[1] 0.037739
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Name: params, dtype: float64, 'loglikelihood': -118.6993232292753, 'aic': 245.3986464585506, 'bic': np.float64(249.57673620944428)}, 1880: {'params': mu 3.580037e+03
omega 2.026062e+03
alpha[1] 6.406519e-01
beta[1] 1.303901e-15
Name: params, dtype: float64, 'loglikelihood': -113.782406622569, 'aic': 235.564813245138, 'bic': np.float64(239.7429029960317)}, 1885: {'params': mu 3615.027189
omega 7875.841134
alpha[1] 0.397953
beta[1] 0.255649
Name: params, dtype: float64, 'loglikelihood': -132.88609845815705, 'aic': 273.7721969163141, 'bic': np.float64(277.9502866672078)}, 1890: {'params': mu 3699.275262
omega 12384.610388
alpha[1] 0.415124
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Name: params, dtype: float64, 'loglikelihood': -135.22432684699388, 'aic': 278.44865369398775, 'bic': np.float64(282.62674344488147)}, 1895: {'params': mu 3772.296429
omega 2216.831977
alpha[1] 0.614801
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Name: params, dtype: float64, 'loglikelihood': -133.04867840104737, 'aic': 274.09735680209474, 'bic': np.float64(278.27544655298846)}, 1900: {'params': mu 3.838847e+03
omega 4.564230e+03
alpha[1] 3.391929e-16
beta[1] 6.598096e-01
Name: params, dtype: float64, 'loglikelihood': -130.75005660584148, 'aic': 269.50011321168296, 'bic': np.float64(273.6782029625767)}, 1905: {'params': mu 3796.924910
omega 3089.188700
alpha[1] 0.398136
beta[1] 0.601864
Name: params, dtype: float64, 'loglikelihood': -135.0699110921163, 'aic': 278.1398221842326, 'bic': np.float64(282.31791193512635)}, 1910: {'params': mu 3.762543e+03
omega 3.296668e+04
alpha[1] 5.975550e-01
beta[1] 5.035822e-15
Name: params, dtype: float64, 'loglikelihood': -144.65456704161866, 'aic': 297.3091340832373, 'bic': np.float64(301.48722383413104)}, 1915: {'params': mu 3477.218615
omega 33694.785888
alpha[1] 0.697624
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Name: params, dtype: float64, 'loglikelihood': -144.75491875779446, 'aic': 297.5098375155889, 'bic': np.float64(301.68792726648263)}, 1920: {'params': mu 3.496320e+03
omega 4.339913e+04
alpha[1] 8.057495e-01
beta[1] 3.081150e-14
Name: params, dtype: float64, 'loglikelihood': -146.6397725554138, 'aic': 301.2795451108276, 'bic': np.float64(305.4576348617213)}, 1925: {'params': mu 3.694848e+03
omega 6.158652e+04
alpha[1] 4.987781e-01
beta[1] 1.597401e-15
Name: params, dtype: float64, 'loglikelihood': -151.92881133167847, 'aic': 311.85762266335695, 'bic': np.float64(316.03571241425067)}, 1930: {'params': mu 4009.719293
omega 63147.371695
alpha[1] 0.643519
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -151.06878765350507, 'aic': 310.13757530701014, 'bic': np.float64(314.31566505790386)}, 1935: {'params': mu 4.098715e+03
omega 1.101998e+05
alpha[1] 9.304306e-01
beta[1] 4.999238e-14
Name: params, dtype: float64, 'loglikelihood': -156.6105291040945, 'aic': 321.221058208189, 'bic': np.float64(325.3991479590827)}, 1940: {'params': mu 4908.219902
omega 241425.718948
alpha[1] 0.720599
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Name: params, dtype: float64, 'loglikelihood': -170.78252709312426, 'aic': 349.5650541862485, 'bic': np.float64(353.74314393714224)}, 1945: {'params': mu 5.466208e+03
omega 2.790970e+05
alpha[1] 7.374387e-01
beta[1] 2.462279e-16
Name: params, dtype: float64, 'loglikelihood': -171.65702682150044, 'aic': 351.3140536430009, 'bic': np.float64(355.4921433938946)}, 1950: {'params': mu 6388.454654
omega 120243.447649
alpha[1] 0.972906
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Name: params, dtype: float64, 'loglikelihood': -157.0982507163974, 'aic': 322.1965014327948, 'bic': np.float64(326.3745911836885)}, 1955: {'params': mu 6.429318e+03
omega 6.461505e+03
alpha[1] 1.000000e+00
beta[1] 1.479805e-14
Name: params, dtype: float64, 'loglikelihood': -129.10625363721243, 'aic': 266.21250727442487, 'bic': np.float64(270.3905970253186)}, 1960: {'params': mu 6468.643880
omega 2265.485145
alpha[1] 0.459410
beta[1] 0.015760
Name: params, dtype: float64, 'loglikelihood': -117.5300291507676, 'aic': 243.0600583015352, 'bic': np.float64(247.2381480524289)}, 1965: {'params': mu 6500.397478
omega 3815.758593
alpha[1] 0.762666
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -121.46414120084391, 'aic': 250.92828240168782, 'bic': np.float64(255.1063721525815)}, 1970: {'params': mu 6520.804255
omega 4700.328635
alpha[1] 0.898435
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -126.3503666104193, 'aic': 260.70073322083863, 'bic': np.float64(264.8788229717323)}, 1975: {'params': mu 6.532764e+03
omega 1.753951e+03
alpha[1] 1.000000e+00
beta[1] 1.221245e-14
Name: params, dtype: float64, 'loglikelihood': -125.24326974630745, 'aic': 258.4865394926149, 'bic': np.float64(262.6646292435086)}, 1980: {'params': mu 6.580010e+03
omega 5.429528e+03
alpha[1] 7.275965e-01
beta[1] 1.576682e-14
Name: params, dtype: float64, 'loglikelihood': -126.76724745501522, 'aic': 261.53449491003045, 'bic': np.float64(265.71258466092416)}, 1985: {'params': mu 6608.021947
omega 1962.107616
alpha[1] 1.000000
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Name: params, dtype: float64, 'loglikelihood': -125.13535798556177, 'aic': 258.27071597112354, 'bic': np.float64(262.44880572201725)}, 1990: {'params': mu 6.611949e+03
omega 4.460114e+03
alpha[1] 1.000000e+00
beta[1] 1.395074e-16
Name: params, dtype: float64, 'loglikelihood': -124.45266882869947, 'aic': 256.90533765739895, 'bic': np.float64(261.08342740829266)}, 1995: {'params': mu 6611.777489
omega 1601.913557
alpha[1] 0.942849
beta[1] 0.057151
Name: params, dtype: float64, 'loglikelihood': -125.20852186827167, 'aic': 258.41704373654335, 'bic': np.float64(262.59513348743707)}, 2000: {'params': mu 6534.198271
omega 8939.815150
alpha[1] 0.581695
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -132.01834684786573, 'aic': 272.03669369573146, 'bic': np.float64(276.2147834466252)}, 2005: {'params': mu 6.457703e+03
omega 1.321905e+04
alpha[1] 6.164012e-01
beta[1] 4.045984e-11
Name: params, dtype: float64, 'loglikelihood': -135.3530049435339, 'aic': 278.7060098870678, 'bic': np.float64(282.8840996379615)}, 2010: {'params': mu 6.393845e+03
omega 3.486951e+04
alpha[1] 1.000000e+00
beta[1] 4.652573e-13
Name: params, dtype: float64, 'loglikelihood': -145.51954973020878, 'aic': 299.03909946041756, 'bic': np.float64(303.2171892113113)}, 2015: {'params': mu 6689.593607
omega 76902.444512
alpha[1] 0.217980
beta[1] 0.260454
Name: params, dtype: float64, 'loglikelihood': -154.959768100338, 'aic': 317.919536200676, 'bic': np.float64(322.09762595156974)}, 2020: {'params': mu 7002.657296
omega 13718.422785
alpha[1] 1.000000
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Name: params, dtype: float64, 'loglikelihood': -151.08936287579982, 'aic': 310.17872575159964, 'bic': np.float64(314.35681550249336)}, 2025: {'params': mu 6780.253822
omega 56770.010290
alpha[1] 0.272680
beta[1] 0.233086
Name: params, dtype: float64, 'loglikelihood': -151.59203106170145, 'aic': 311.1840621234029, 'bic': np.float64(315.3621518742966)}, 2030: {'params': mu 6.477496e+03
omega 3.413234e+04
alpha[1] 7.808123e-01
beta[1] 4.838381e-17
Name: params, dtype: float64, 'loglikelihood': -149.17322879813744, 'aic': 306.3464575962749, 'bic': np.float64(310.5245473471686)}, 2035: {'params': mu 6.404264e+03
omega 1.736112e+04
alpha[1] 7.656964e-01
beta[1] 2.995531e-17
Name: params, dtype: float64, 'loglikelihood': -141.5488855984404, 'aic': 291.0977711968808, 'bic': np.float64(295.2758609477745)}, 2040: {'params': mu 6416.047619
omega 10743.700534
alpha[1] 1.000000
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Name: params, dtype: float64, 'loglikelihood': -143.17164323048536, 'aic': 294.3432864609707, 'bic': np.float64(298.52137621186444)}, 2045: {'params': mu 6.420500e+03
omega 1.307565e+05
alpha[1] 9.178821e-01
beta[1] 4.153895e-14
Name: params, dtype: float64, 'loglikelihood': -159.88276014931623, 'aic': 327.76552029863245, 'bic': np.float64(331.94361004952617)}, 2050: {'params': mu 7.290802e+03
omega 1.822713e+05
alpha[1] 7.733779e-01
beta[1] 3.198058e-15
Name: params, dtype: float64, 'loglikelihood': -167.3159663214922, 'aic': 342.6319326429844, 'bic': np.float64(346.8100223938781)}, 2055: {'params': mu 7.570320e+03
omega 1.514042e+05
alpha[1] 6.140223e-01
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Name: params, dtype: float64, 'loglikelihood': -160.24997729634347, 'aic': 328.49995459268695, 'bic': np.float64(332.67804434358067)}, 2060: {'params': mu 7.573171e+03
omega 1.662545e+05
alpha[1] 7.008740e-01
beta[1] 1.751158e-14
Name: params, dtype: float64, 'loglikelihood': -159.74400379995785, 'aic': 327.4880075999157, 'bic': np.float64(331.6660973508094)}, 2065: {'params': mu 7257.778849
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alpha[1] 0.754218
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -165.8919624198786, 'aic': 339.7839248397572, 'bic': np.float64(343.96201459065094)}, 2070: {'params': mu 6630.424677
omega 100383.575989
alpha[1] 0.935636
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -159.6324441017839, 'aic': 327.2648882035678, 'bic': np.float64(331.4429779544615)}, 2075: {'params': mu 6.541611e+03
omega 1.326803e+04
alpha[1] 1.000000e+00
beta[1] 3.081488e-33
Name: params, dtype: float64, 'loglikelihood': -145.58889732341208, 'aic': 299.17779464682417, 'bic': np.float64(303.3558843977179)}, 2080: {'params': mu 6380.273425
omega 25970.300978
alpha[1] 0.496392
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Name: params, dtype: float64, 'loglikelihood': -143.7159578192467, 'aic': 295.4319156384934, 'bic': np.float64(299.61000538938714)}, 2085: {'params': mu 6.536622e+03
omega 3.660688e+04
alpha[1] 7.130535e-01
beta[1] 4.894654e-16
Name: params, dtype: float64, 'loglikelihood': -146.39925388920443, 'aic': 300.79850777840886, 'bic': np.float64(304.9765975293026)}, 2090: {'params': mu 6470.879114
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alpha[1] 0.659389
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Name: params, dtype: float64, 'loglikelihood': -145.30378562020536, 'aic': 298.6075712404107, 'bic': np.float64(302.78566099130444)}, 2095: {'params': mu 6476.386247
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alpha[1] 0.705227
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Name: params, dtype: float64, 'loglikelihood': -153.03051755917556, 'aic': 314.0610351183511, 'bic': np.float64(318.23912486924485)}, 2100: {'params': mu 6603.990045
omega 85214.646492
alpha[1] 0.721348
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Name: params, dtype: float64, 'loglikelihood': -157.8769708648695, 'aic': 323.753941729739, 'bic': np.float64(327.9320314806327)}, 2105: {'params': mu 7117.582597
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alpha[1] 0.311675
beta[1] 0.180617
Name: params, dtype: float64, 'loglikelihood': -160.6445449056637, 'aic': 329.2890898113274, 'bic': np.float64(333.46717956222113)}, 2110: {'params': mu 7401.213997
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omega 5.171682e+03
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Name: params, dtype: float64, 'loglikelihood': -52.59400478871227, 'aic': 113.18800957742454, 'bic': np.float64(112.97165017364578)}, 1690: {'params': mu 11396.236745
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Name: params, dtype: float64, 'loglikelihood': -52.737043103753635, 'aic': 113.47408620750727, 'bic': np.float64(113.25772680372852)}, 1700: {'params': mu 9752.872407
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Name: params, dtype: float64, 'loglikelihood': -51.36676632242427, 'aic': 110.73353264484854, 'bic': np.float64(110.51717324106978)}, 1710: {'params': mu 10397.399913
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Name: params, dtype: float64, 'loglikelihood': -54.85943131532541, 'aic': 117.71886263065082, 'bic': np.float64(117.50250322687207)}, 1715: {'params': mu 11653.443243
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Name: params, dtype: float64, 'loglikelihood': -54.05624908616795, 'aic': 116.1124981723359, 'bic': np.float64(115.89613876855715)}, 1725: {'params': mu 1.137866e+04
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Name: params, dtype: float64, 'loglikelihood': -55.07630820573934, 'aic': 118.15261641147868, 'bic': np.float64(117.93625700769992)}, 1730: {'params': mu 11774.371645
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Name: params, dtype: float64, 'loglikelihood': -55.94459086503715, 'aic': 119.8891817300743, 'bic': np.float64(119.67282232629555)}, 1735: {'params': mu 10099.643907
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Name: params, dtype: float64, 'loglikelihood': -56.21522611141707, 'aic': 120.43045222283413, 'bic': np.float64(120.21409281905538)}, 1740: {'params': mu 8900.700726
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Name: params, dtype: float64, 'loglikelihood': -50.95483156986101, 'aic': 109.90966313972201, 'bic': np.float64(109.69330373594326)}, 1745: {'params': mu 8060.056089
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Name: params, dtype: float64, 'loglikelihood': -49.736928148795606, 'aic': 107.47385629759121, 'bic': np.float64(107.25749689381246)}, 1750: {'params': mu 7.842271e+03
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alpha[1] 5.693947e-16
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Name: params, dtype: float64, 'loglikelihood': -45.44744341698877, 'aic': 98.89488683397754, 'bic': np.float64(98.67852743019878)}, 1755: {'params': mu 8366.101092
omega 57876.702013
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Name: params, dtype: float64, 'loglikelihood': -50.59497595104266, 'aic': 109.18995190208533, 'bic': np.float64(108.97359249830657)}, 1760: {'params': mu 8431.976945
omega 48358.125302
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Name: params, dtype: float64, 'loglikelihood': -50.027849745131405, 'aic': 108.05569949026281, 'bic': np.float64(107.83934008648406)}, 1765: {'params': mu 7934.014066
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Name: params, dtype: float64, 'loglikelihood': -44.945337591767085, 'aic': 97.89067518353417, 'bic': np.float64(97.67431577975542)}, 1770: {'params': mu 7825.085702
omega 57807.674898
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Name: params, dtype: float64, 'loglikelihood': -50.73587282598361, 'aic': 109.47174565196723, 'bic': np.float64(109.25538624818847)}, 1775: {'params': mu 7245.398695
omega 260051.684291
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Name: params, dtype: float64, 'loglikelihood': -55.906688476182, 'aic': 119.813376952364, 'bic': np.float64(119.59701754858524)}, 1780: {'params': mu 5966.884135
omega 24641.109172
alpha[1] 0.000000
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Name: params, dtype: float64, 'loglikelihood': -47.64688045669113, 'aic': 103.29376091338226, 'bic': np.float64(103.0774015096035)}, 1785: {'params': mu 5.543771e+03
omega 2.561580e+04
alpha[1] 1.214306e-17
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Name: params, dtype: float64, 'loglikelihood': -47.88668508666854, 'aic': 103.77337017333709, 'bic': np.float64(103.55701076955833)}, 1790: {'params': mu 5279.434289
omega 1932.431579
alpha[1] 0.999836
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Name: params, dtype: float64, 'loglikelihood': -38.02729709805239, 'aic': 84.05459419610477, 'bic': np.float64(83.83823479232602)}, 1795: {'params': mu 5.322528e+03
omega 3.077064e+03
alpha[1] 1.316655e-15
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Name: params, dtype: float64, 'loglikelihood': -42.220324744083065, 'aic': 92.44064948816613, 'bic': np.float64(92.22429008438738)}, 1800: {'params': mu 5.193172e+03
omega 3.320340e+03
alpha[1] 9.645063e-16
beta[1] 5.059144e-01
Name: params, dtype: float64, 'loglikelihood': -40.73539090077358, 'aic': 89.47078180154716, 'bic': np.float64(89.25442239776841)}, 1805: {'params': mu 5.108841e+03
omega 2.667857e+03
alpha[1] 7.919013e-16
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Name: params, dtype: float64, 'loglikelihood': -41.68795020773965, 'aic': 91.3759004154793, 'bic': np.float64(91.15954101170054)}, 1810: {'params': mu 5.120543e+03
omega 8.581541e+03
alpha[1] 2.931683e-16
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Name: params, dtype: float64, 'loglikelihood': -44.05955168715517, 'aic': 96.11910337431034, 'bic': np.float64(95.90274397053159)}, 1815: {'params': mu 4585.685794
omega 82459.302041
alpha[1] 0.210283
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Name: params, dtype: float64, 'loglikelihood': -51.97128324809528, 'aic': 111.94256649619057, 'bic': np.float64(111.72620709241181)}, 1820: {'params': mu 4.037630e+03
omega 2.366650e+03
alpha[1] 6.938894e-18
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Name: params, dtype: float64, 'loglikelihood': -39.54836427807472, 'aic': 87.09672855614944, 'bic': np.float64(86.88036915237069)}, 1825: {'params': mu 3984.402779
omega 548.435697
alpha[1] 0.000000
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Name: params, dtype: float64, 'loglikelihood': -34.425812163917556, 'aic': 76.85162432783511, 'bic': np.float64(76.63526492405636)}, 1830: {'params': mu 3.991830e+03
omega 5.746867e+02
alpha[1] 1.955033e-15
beta[1] 5.367947e-01
Name: params, dtype: float64, 'loglikelihood': -34.58087730051856, 'aic': 77.16175460103712, 'bic': np.float64(76.94539519725836)}, 1835: {'params': mu 3.906605e+03
omega 1.040953e+03
alpha[1] 1.020017e-15
beta[1] 3.680345e-01
Name: params, dtype: float64, 'loglikelihood': -36.476433246344506, 'aic': 80.95286649268901, 'bic': np.float64(80.73650708891026)}, 1840: {'params': mu 3884.429144
omega 454.428208
alpha[1] 0.000000
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Name: params, dtype: float64, 'loglikelihood': -33.77608689805153, 'aic': 75.55217379610306, 'bic': np.float64(75.33581439232431)}, 1845: {'params': mu 3.815309e+03
omega 6.021850e+02
alpha[1] 3.290770e-15
beta[1] 6.318480e-01
Name: params, dtype: float64, 'loglikelihood': -36.46587892427148, 'aic': 80.93175784854296, 'bic': np.float64(80.7153984447642)}, 1850: {'params': mu 3.845984e+03
omega 6.216342e+03
alpha[1] 1.000000e+00
beta[1] 1.667797e-13
Name: params, dtype: float64, 'loglikelihood': -41.71100131547347, 'aic': 91.42200263094693, 'bic': np.float64(91.20564322716818)}, 1855: {'params': mu 3.937156e+03
omega 5.066530e+03
alpha[1] 6.977338e-01
beta[1] 5.175743e-10
Name: params, dtype: float64, 'loglikelihood': -40.84350122158774, 'aic': 89.68700244317549, 'bic': np.float64(89.47064303939673)}, 1860: {'params': mu 3637.427101
omega 8642.326626
alpha[1] 0.888462
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -43.1967978965542, 'aic': 94.3935957931084, 'bic': np.float64(94.17723638932965)}, 1865: {'params': mu 3.638578e+03
omega 4.018437e+02
alpha[1] 5.811324e-16
beta[1] 4.365542e-01
Name: params, dtype: float64, 'loglikelihood': -33.310700675683584, 'aic': 74.62140135136717, 'bic': np.float64(74.40504194758842)}, 1870: {'params': mu 3471.096534
omega 5417.082865
alpha[1] 0.658373
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -41.47597411558745, 'aic': 90.9519482311749, 'bic': np.float64(90.73558882739614)}, 1875: {'params': mu 3.457764e+03
omega 1.887850e+02
alpha[1] 2.678413e-15
beta[1] 7.533495e-01
Name: params, dtype: float64, 'loglikelihood': -32.44139690740759, 'aic': 72.88279381481517, 'bic': np.float64(72.66643441103642)}, 1880: {'params': mu 3.512916e+03
omega 1.276547e+03
alpha[1] 2.602085e-17
beta[1] 6.785228e-01
Name: params, dtype: float64, 'loglikelihood': -39.171163021201906, 'aic': 86.34232604240381, 'bic': np.float64(86.12596663862506)}, 1885: {'params': mu 3.577827e+03
omega 9.475949e+02
alpha[1] 1.000000e+00
beta[1] 4.302114e-16
Name: params, dtype: float64, 'loglikelihood': -35.546024717127324, 'aic': 79.09204943425465, 'bic': np.float64(78.8756900304759)}, 1890: {'params': mu 3.607069e+03
omega 8.699774e+02
alpha[1] 5.629078e-01
beta[1] 2.516186e-15
Name: params, dtype: float64, 'loglikelihood': -35.554948191920914, 'aic': 79.10989638384183, 'bic': np.float64(78.89353698006308)}, 1895: {'params': mu 3.642141e+03
omega 6.217585e+03
alpha[1] 8.612902e-16
beta[1] 7.963587e-01
Name: params, dtype: float64, 'loglikelihood': -44.55131909893198, 'aic': 97.10263819786395, 'bic': np.float64(96.8862787940852)}, 1900: {'params': mu 3.875833e+03
omega 5.813355e+03
alpha[1] 2.542595e-16
beta[1] 5.649077e-01
Name: params, dtype: float64, 'loglikelihood': -44.25930089883215, 'aic': 96.5186017976643, 'bic': np.float64(96.30224239388555)}, 1905: {'params': mu 3796.542931
omega 621.469732
alpha[1] 0.000000
beta[1] 0.771671
Name: params, dtype: float64, 'loglikelihood': -36.570442672694654, 'aic': 81.14088534538931, 'bic': np.float64(80.92452594161055)}, 1910: {'params': mu 3747.985294
omega 3488.093475
alpha[1] 0.000000
beta[1] 0.545227
Name: params, dtype: float64, 'loglikelihood': -40.892404376599934, 'aic': 89.78480875319987, 'bic': np.float64(89.56844934942112)}, 1915: {'params': mu 3916.857891
omega 5973.109794
alpha[1] 0.000000
beta[1] 0.471548
Name: params, dtype: float64, 'loglikelihood': -42.784345729360105, 'aic': 93.56869145872021, 'bic': np.float64(93.35233205494146)}, 1920: {'params': mu 3.612100e+03
omega 4.057226e+04
alpha[1] 1.118897e-16
beta[1] 4.927399e-01
Name: params, dtype: float64, 'loglikelihood': -49.496622507888276, 'aic': 106.99324501577655, 'bic': np.float64(106.7768856119978)}, 1925: {'params': mu 3339.141896
omega 928.294825
alpha[1] 0.000000
beta[1] 0.909811
Name: params, dtype: float64, 'loglikelihood': -41.90589029611679, 'aic': 91.81178059223357, 'bic': np.float64(91.59542118845482)}, 1930: {'params': mu 3.509783e+03
omega 4.230128e+03
alpha[1] 3.209238e-17
beta[1] 7.787319e-01
Name: params, dtype: float64, 'loglikelihood': -43.26433508467757, 'aic': 94.52867016935514, 'bic': np.float64(94.31231076557638)}, 1935: {'params': mu 3.933259e+03
omega 2.431600e+04
alpha[1] 9.332812e-16
beta[1] 3.991270e-01
Name: params, dtype: float64, 'loglikelihood': -47.61241753026106, 'aic': 103.22483506052212, 'bic': np.float64(103.00847565674337)}, 1940: {'params': mu 4080.500339
omega 14379.877144
alpha[1] 0.000000
beta[1] 0.538617
Name: params, dtype: float64, 'loglikelihood': -45.85338646001751, 'aic': 99.70677292003502, 'bic': np.float64(99.49041351625627)}, 1945: {'params': mu 4.248129e+03
omega 4.100588e+04
alpha[1] 3.174544e-16
beta[1] 4.635940e-01
Name: params, dtype: float64, 'loglikelihood': -49.5238044747496, 'aic': 107.0476089494992, 'bic': np.float64(106.83124954572045)}, 1950: {'params': mu 5240.338952
omega 121950.165306
alpha[1] 0.515055
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -53.29490155658553, 'aic': 114.58980311317106, 'bic': np.float64(114.3734437093923)}, 1955: {'params': mu 6.133578e+03
omega 6.187144e+04
alpha[1] 4.801899e-01
beta[1] 2.531407e-17
Name: params, dtype: float64, 'loglikelihood': -50.90445462144446, 'aic': 109.80890924288892, 'bic': np.float64(109.59254983911016)}, 1960: {'params': mu 6469.570732
omega 1146.739604
alpha[1] 0.000000
beta[1] 0.534149
Name: params, dtype: float64, 'loglikelihood': -37.005723841662274, 'aic': 82.01144768332455, 'bic': np.float64(81.7950882795458)}, 1965: {'params': mu 6.431140e+03
omega 1.101544e+03
alpha[1] 3.191891e-16
beta[1] 4.533677e-01
Name: params, dtype: float64, 'loglikelihood': -36.85783415747908, 'aic': 81.71566831495817, 'bic': np.float64(81.49930891117941)}, 1970: {'params': mu 6416.765466
omega 1599.704348
alpha[1] 0.000000
beta[1] 0.751402
Name: params, dtype: float64, 'loglikelihood': -39.92466713413929, 'aic': 87.84933426827858, 'bic': np.float64(87.63297486449983)}, 1975: {'params': mu 6.529911e+03
omega 4.062435e+02
alpha[1] 2.759039e-16
beta[1] 5.023797e-01
Name: params, dtype: float64, 'loglikelihood': -33.383983826454944, 'aic': 74.76796765290989, 'bic': np.float64(74.55160824913114)}, 1980: {'params': mu 6598.418078
omega 1285.742302
alpha[1] 0.054784
beta[1] 0.734854
Name: params, dtype: float64, 'loglikelihood': -39.101395885573794, 'aic': 86.20279177114759, 'bic': np.float64(85.98643236736883)}, 1985: {'params': mu 6467.205382
omega 20198.825316
alpha[1] 0.524541
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': -47.009603150254314, 'aic': 102.01920630050863, 'bic': np.float64(101.80284689672987)}, 1990: {'params': mu 6.606826e+03
omega 1.387258e+04
alpha[1] 9.065646e-01
beta[1] 1.391840e-13
Name: params, dtype: float64, 'loglikelihood': -44.74354133547057, 'aic': 97.48708267094113, 'bic': np.float64(97.27072326716238)}, 1995: {'params': mu 6.585216e+03
omega 8.186363e+02
alpha[1] 8.014422e-16
beta[1] 5.415500e-01
Name: params, dtype: float64, 'loglikelihood': -35.819850070975896, 'aic': 79.63970014195179, 'bic': np.float64(79.42334073817304)}, 2000: {'params': mu 6.608091e+03
omega 2.176245e+03
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alpha[1] 0.200033
beta[1] 0.300008
Name: params, dtype: float64, 'loglikelihood': 11.116981141640009, 'aic': -14.233962283280018, 'bic': np.float64(-14.450321687058764)}, 4815: {'params': mu 3.411779e-01
omega 1.638631e-03
alpha[1] 3.160981e-01
beta[1] 1.665335e-16
Name: params, dtype: float64, 'loglikelihood': 11.12720472851234, 'aic': -14.254409457024678, 'bic': np.float64(-14.470768860803425)}, 4820: {'params': mu 0.30
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 4825: {'params': mu 0.30
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 4830: {'params': mu 0.30
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 4835: {'params': mu 0.271852
omega 0.000478
alpha[1] 0.000000
beta[1] 0.797806
Name: params, dtype: float64, 'loglikelihood': 11.765997474982104, 'aic': -15.531994949964208, 'bic': np.float64(-15.748354353742954)}, 4840: {'params': mu 2.401215e-01
omega 2.448991e-11
alpha[1] 0.000000e+00
beta[1] 9.618932e-01
Name: params, dtype: float64, 'loglikelihood': 11.143662098393705, 'aic': -14.28732419678741, 'bic': np.float64(-14.503683600566156)}, 4845: {'params': mu 2.142881e-01
omega 1.227869e-03
alpha[1] 4.459684e-16
beta[1] 0.000000e+00
Name: params, dtype: float64, 'loglikelihood': 13.535725522247738, 'aic': -19.071451044495475, 'bic': np.float64(-19.28781044827422)}, 4850: {'params': mu 0.20
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 4855: {'params': mu 0.222141
omega 0.001231
alpha[1] 0.520608
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': 12.119321825912705, 'aic': -16.23864365182541, 'bic': np.float64(-16.455003055604156)}, 4860: {'params': mu 0.257258
omega 0.001231
alpha[1] 0.199997
beta[1] 0.299990
Name: params, dtype: float64, 'loglikelihood': 11.111530529026886, 'aic': -14.223061058053773, 'bic': np.float64(-14.439420461832519)}, 4865: {'params': mu 0.30
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 4870: {'params': mu 2.884626e-01
omega 1.108696e-04
alpha[1] 3.681307e-10
beta[1] 1.000000e+00
Name: params, dtype: float64, 'loglikelihood': 13.959587741867725, 'aic': -19.91917548373545, 'bic': np.float64(-20.135534887514197)}, 4875: {'params': mu 0.273351
omega 0.001567
alpha[1] 0.209667
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': 11.827733812376682, 'aic': -15.655467624753364, 'bic': np.float64(-15.87182702853211)}, 4880: {'params': mu 0.242659
omega 0.001224
alpha[1] 0.199982
beta[1] 0.299978
Name: params, dtype: float64, 'loglikelihood': 11.112065464284443, 'aic': -14.224130928568886, 'bic': np.float64(-14.440490332347633)}, 4885: {'params': mu 0.257249
omega 0.002718
alpha[1] 0.009986
beta[1] 0.490081
Name: params, dtype: float64, 'loglikelihood': 8.38472945408247, 'aic': -8.769458908164939, 'bic': np.float64(-8.985818311943685)}, 4890: {'params': mu 0.20
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 4895: {'params': mu 0.165063
omega 0.001123
alpha[1] 0.603942
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': 11.219786419600265, 'aic': -14.43957283920053, 'bic': np.float64(-14.655932242979276)}, 4900: {'params': mu 0.10
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 4905: {'params': mu 0.10
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 4910: {'params': mu 0.10
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 4915: {'params': mu 0.10
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 4920: {'params': mu 0.10
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 4925: {'params': mu 0.10
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 4930: {'params': mu 0.10
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 4935: {'params': mu 0.10
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 4940: {'params': mu 0.10
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 4945: {'params': mu 0.10
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 4950: {'params': mu 0.10
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 4955: {'params': mu 0.10
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 4960: {'params': mu 0.10
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}}}
Predicciones Volatilidad_14: {14: {0: array([1.65845564e-05, 1.91050705e-05, 2.03652687e-05, 2.09953385e-05,
2.13103587e-05, 2.14678614e-05, 2.15466091e-05, 2.15859811e-05,
2.16056662e-05, 2.16155083e-05, 2.16204291e-05, 2.16228894e-05,
2.16241195e-05, 2.16247345e-05, 2.16250420e-05, 2.16251957e-05,
2.16252726e-05, 2.16253110e-05, 2.16253302e-05, 2.16253398e-05,
2.16253446e-05, 2.16253470e-05, 2.16253482e-05, 2.16253488e-05,
2.16253491e-05, 2.16253493e-05, 2.16253494e-05, 2.16253494e-05]), 5: array([6.10460560e-06, 6.33686315e-06, 6.45299201e-06, 6.51105649e-06,
6.54008875e-06, 6.55460489e-06, 6.56186297e-06, 6.56549201e-06,
6.56730653e-06, 6.56821380e-06, 6.56866743e-06, 6.56889424e-06,
6.56900765e-06, 6.56906435e-06, 6.56909271e-06, 6.56910688e-06,
6.56911397e-06, 6.56911751e-06, 6.56911929e-06, 6.56912017e-06,
6.56912062e-06, 6.56912084e-06, 6.56912095e-06, 6.56912100e-06,
6.56912103e-06, 6.56912104e-06, 6.56912105e-06, 6.56912105e-06]), 10: array([3.11535831e-05, 2.98674097e-05, 2.87098531e-05, 2.76680517e-05,
2.67304299e-05, 2.58865700e-05, 2.51270956e-05, 2.44435684e-05,
2.38283936e-05, 2.32747360e-05, 2.27764439e-05, 2.23279809e-05,
2.19243639e-05, 2.15611085e-05, 2.12341784e-05, 2.09399412e-05,
2.06751276e-05, 2.04367953e-05, 2.02222960e-05, 2.00292466e-05,
1.98555021e-05, 1.96991320e-05, 1.95583987e-05, 1.94317388e-05,
1.93177448e-05, 1.92151501e-05, 1.91228149e-05, 1.90397131e-05]), 15: array([1.11132822e-04, 8.85849871e-05, 7.73106782e-05, 7.16733280e-05,
6.88545550e-05, 6.74451195e-05, 6.67403773e-05, 6.63879940e-05,
6.62117962e-05, 6.61236942e-05, 6.60796417e-05, 6.60576147e-05,
6.60466008e-05, 6.60410937e-05, 6.60383400e-05, 6.60369631e-05,
6.60362747e-05, 6.60359304e-05, 6.60357583e-05, 6.60356722e-05,
6.60356292e-05, 6.60356077e-05, 6.60355969e-05, 6.60355916e-05,
6.60355889e-05, 6.60355875e-05, 6.60355868e-05, 6.60355865e-05]), 20: array([3.95326672e-05, 4.17799214e-05, 4.29032224e-05, 4.34647099e-05,
4.37453722e-05, 4.38856626e-05, 4.39557875e-05, 4.39908397e-05,
4.40083607e-05, 4.40171187e-05, 4.40214964e-05, 4.40236847e-05,
4.40247785e-05, 4.40253252e-05, 4.40255985e-05, 4.40257351e-05,
4.40258034e-05, 4.40258375e-05, 4.40258546e-05, 4.40258631e-05,
4.40258674e-05, 4.40258695e-05, 4.40258705e-05, 4.40258711e-05,
4.40258713e-05, 4.40258715e-05, 4.40258715e-05, 4.40258716e-05]), 25: array([6.72630109e-06, 7.98435075e-06, 8.86498455e-06, 9.48142753e-06,
9.91293714e-06, 1.02149935e-05, 1.04264328e-05, 1.05744401e-05,
1.06780451e-05, 1.07505685e-05, 1.08013349e-05, 1.08368713e-05,
1.08617467e-05, 1.08791595e-05, 1.08913485e-05, 1.08998807e-05,
1.09058533e-05, 1.09100341e-05, 1.09129606e-05, 1.09150092e-05,
1.09164432e-05, 1.09174470e-05, 1.09181497e-05, 1.09186416e-05,
1.09189859e-05, 1.09192269e-05, 1.09193956e-05, 1.09195137e-05]), 30: array([3.49378276e-07, 3.48543998e-07, 3.48126858e-07, 3.47918289e-07,
3.47814004e-07, 3.47761862e-07, 3.47735790e-07, 3.47722755e-07,
3.47716237e-07, 3.47712978e-07, 3.47711349e-07, 3.47710534e-07,
3.47710126e-07, 3.47709923e-07, 3.47709821e-07, 3.47709770e-07,
3.47709745e-07, 3.47709732e-07, 3.47709725e-07, 3.47709722e-07,
3.47709721e-07, 3.47709720e-07, 3.47709720e-07, 3.47709719e-07,
3.47709719e-07, 3.47709719e-07, 3.47709719e-07, 3.47709719e-07]), 35: array([3.09078587e-07, 3.08632634e-07, 3.08320467e-07, 3.08101950e-07,
3.07948989e-07, 3.07841915e-07, 3.07766964e-07, 3.07714498e-07,
3.07677772e-07, 3.07652064e-07, 3.07634068e-07, 3.07621471e-07,
3.07612653e-07, 3.07606480e-07, 3.07602160e-07, 3.07599135e-07,
3.07597018e-07, 3.07595536e-07, 3.07594498e-07, 3.07593772e-07,
3.07593264e-07, 3.07592908e-07, 3.07592659e-07, 3.07592485e-07,
3.07592363e-07, 3.07592277e-07, 3.07592217e-07, 3.07592175e-07]), 40: array([1.72729938e-05, 1.47470349e-05, 1.29785642e-05, 1.17404250e-05,
1.08735807e-05, 1.02666870e-05, 9.84178942e-06, 9.54431073e-06,
9.33604038e-06, 9.19022645e-06, 9.08813940e-06, 9.01666637e-06,
8.96662677e-06, 8.93159311e-06, 8.90706540e-06, 8.88989310e-06,
8.87787045e-06, 8.86945317e-06, 8.86356007e-06, 8.85943421e-06,
8.85654561e-06, 8.85452325e-06, 8.85310736e-06, 8.85211607e-06,
8.85142205e-06, 8.85093615e-06, 8.85059597e-06, 8.85035780e-06]), 45: array([8.67663560e-06, 9.45653455e-06, 9.84648448e-06, 1.00414597e-05,
1.01389474e-05, 1.01876913e-05, 1.02120633e-05, 1.02242493e-05,
1.02303423e-05, 1.02333888e-05, 1.02349121e-05, 1.02356737e-05,
1.02360545e-05, 1.02362449e-05, 1.02363401e-05, 1.02363877e-05,
1.02364115e-05, 1.02364234e-05, 1.02364294e-05, 1.02364323e-05,
1.02364338e-05, 1.02364346e-05, 1.02364349e-05, 1.02364351e-05,
1.02364352e-05, 1.02364353e-05, 1.02364353e-05, 1.02364353e-05]), 50: array([2.38605351e-05, 2.00613696e-05, 1.74017232e-05, 1.55398093e-05,
1.42363566e-05, 1.33238606e-05, 1.26850580e-05, 1.22378574e-05,
1.19247898e-05, 1.17056236e-05, 1.15521939e-05, 1.14447838e-05,
1.13695902e-05, 1.13169501e-05, 1.12800988e-05, 1.12543007e-05,
1.12362405e-05, 1.12235972e-05, 1.12147462e-05, 1.12085499e-05,
1.12042121e-05, 1.12011754e-05, 1.11990496e-05, 1.11975613e-05,
1.11965194e-05, 1.11957901e-05, 1.11952795e-05, 1.11949220e-05]), 55: array([1.76795019e-05, 1.65246862e-05, 1.59472656e-05, 1.56585489e-05,
1.55141874e-05, 1.54420050e-05, 1.54059130e-05, 1.53878666e-05,
1.53788432e-05, 1.53743314e-05, 1.53720755e-05, 1.53709475e-05,
1.53703835e-05, 1.53701015e-05, 1.53699605e-05, 1.53698900e-05,
1.53698547e-05, 1.53698371e-05, 1.53698283e-05, 1.53698239e-05,
1.53698216e-05, 1.53698205e-05, 1.53698200e-05, 1.53698197e-05,
1.53698196e-05, 1.53698195e-05, 1.53698195e-05, 1.53698195e-05]), 60: array([1.25381945e-05, 1.09686652e-05, 1.01838997e-05, 9.79151658e-06,
9.59532483e-06, 9.49722885e-06, 9.44818082e-06, 9.42365677e-06,
9.41139474e-06, 9.40526372e-06, 9.40219820e-06, 9.40066544e-06,
9.39989906e-06, 9.39951587e-06, 9.39932428e-06, 9.39922848e-06,
9.39918058e-06, 9.39915663e-06, 9.39914466e-06, 9.39913867e-06,
9.39913567e-06, 9.39913418e-06, 9.39913343e-06, 9.39913306e-06,
9.39913287e-06, 9.39913277e-06, 9.39913273e-06, 9.39913270e-06]), 65: array([4.95893699e-05, 4.02465736e-05, 3.39467418e-05, 2.96987759e-05,
2.68343797e-05, 2.49029222e-05, 2.36005436e-05, 2.27223520e-05,
2.21301888e-05, 2.17308942e-05, 2.14616505e-05, 2.12801000e-05,
2.11576807e-05, 2.10751337e-05, 2.10194723e-05, 2.09819400e-05,
2.09566319e-05, 2.09395668e-05, 2.09280598e-05, 2.09203006e-05,
2.09150687e-05, 2.09115408e-05, 2.09091619e-05, 2.09075578e-05,
2.09064762e-05, 2.09057469e-05, 2.09052551e-05, 2.09049235e-05]), 70: array([3.31747539e-05, 3.15513374e-05, 3.07396253e-05, 3.03337675e-05,
3.01308376e-05, 3.00293722e-05, 2.99786392e-05, 2.99532726e-05,
2.99405893e-05, 2.99342476e-05, 2.99310767e-05, 2.99294913e-05,
2.99286985e-05, 2.99283022e-05, 2.99281040e-05, 2.99280049e-05,
2.99279554e-05, 2.99279306e-05, 2.99279182e-05, 2.99279120e-05,
2.99279089e-05, 2.99279074e-05, 2.99279066e-05, 2.99279062e-05,
2.99279060e-05, 2.99279059e-05, 2.99279059e-05, 2.99279058e-05]), 75: array([9.89450736e-06, 1.07632543e-05, 1.11976271e-05, 1.14148133e-05,
1.15234062e-05, 1.15777026e-05, 1.16048507e-05, 1.16184248e-05,
1.16252118e-05, 1.16286053e-05, 1.16303020e-05, 1.16311504e-05,
1.16315746e-05, 1.16317867e-05, 1.16318927e-05, 1.16319458e-05,
1.16319723e-05, 1.16319855e-05, 1.16319922e-05, 1.16319955e-05,
1.16319971e-05, 1.16319980e-05, 1.16319984e-05, 1.16319986e-05,
1.16319987e-05, 1.16319987e-05, 1.16319988e-05, 1.16319988e-05]), 80: array([9.98352275e-06, 8.36709125e-06, 7.55872873e-06, 7.15447408e-06,
6.95231005e-06, 6.85120968e-06, 6.80065032e-06, 6.77536604e-06,
6.76272161e-06, 6.75639825e-06, 6.75323599e-06, 6.75165458e-06,
6.75086373e-06, 6.75046823e-06, 6.75027044e-06, 6.75017153e-06,
6.75012207e-06, 6.75009733e-06, 6.75008496e-06, 6.75007878e-06,
6.75007568e-06, 6.75007414e-06, 6.75007336e-06, 6.75007297e-06,
6.75007278e-06, 6.75007268e-06, 6.75007264e-06, 6.75007261e-06]), 85: array([1.65648444e-05, 1.43543487e-05, 1.32490981e-05, 1.26964714e-05,
1.24201574e-05, 1.22820000e-05, 1.22129212e-05, 1.21783817e-05,
1.21611119e-05, 1.21524770e-05, 1.21481595e-05, 1.21460008e-05,
1.21449214e-05, 1.21443817e-05, 1.21441119e-05, 1.21439769e-05,
1.21439095e-05, 1.21438757e-05, 1.21438589e-05, 1.21438504e-05,
1.21438462e-05, 1.21438441e-05, 1.21438431e-05, 1.21438425e-05,
1.21438423e-05, 1.21438421e-05, 1.21438421e-05, 1.21438421e-05]), 90: array([6.51641644e-06, 6.54998525e-06, 6.57348340e-06, 6.58993210e-06,
6.60144619e-06, 6.60950604e-06, 6.61514794e-06, 6.61909726e-06,
6.62186179e-06, 6.62379695e-06, 6.62515157e-06, 6.62609980e-06,
6.62676356e-06, 6.62722820e-06, 6.62755344e-06, 6.62778111e-06,
6.62794048e-06, 6.62805204e-06, 6.62813013e-06, 6.62818479e-06,
6.62822305e-06, 6.62824984e-06, 6.62826859e-06, 6.62828171e-06,
6.62829090e-06, 6.62829733e-06, 6.62830183e-06, 6.62830498e-06]), 95: array([2.27703069e-05, 1.85186044e-05, 1.63927477e-05, 1.53298167e-05,
1.47983498e-05, 1.45326157e-05, 1.43997483e-05, 1.43333144e-05,
1.43000974e-05, 1.42834888e-05, 1.42751845e-05, 1.42710324e-05,
1.42689563e-05, 1.42679182e-05, 1.42673992e-05, 1.42671397e-05,
1.42670100e-05, 1.42669451e-05, 1.42669126e-05, 1.42668964e-05,
1.42668883e-05, 1.42668842e-05, 1.42668822e-05, 1.42668812e-05,
1.42668807e-05, 1.42668804e-05, 1.42668803e-05, 1.42668803e-05]), 100: array([1.01325178e-05, 1.16185136e-05, 1.26587078e-05, 1.33868419e-05,
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5.55735895e-05, 5.54591471e-05, 5.53561492e-05, 5.52634513e-05]), 1855: array([2.54170115e-05, 2.63615152e-05, 2.70226662e-05, 2.74854708e-05,
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2.85647361e-05, 2.85649170e-05, 2.85650437e-05, 2.85651323e-05]), 1860: array([8.97556374e-05, 5.25035762e-05, 3.82993367e-05, 3.28832493e-05,
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2.95453459e-05, 2.95453459e-05, 2.95453459e-05, 2.95453459e-05]), 1865: array([1.37435658e-04, 1.14588150e-04, 9.85948596e-05, 8.73995316e-05,
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6.12915000e-05, 6.12871226e-05, 6.12840584e-05, 6.12819135e-05]), 1870: array([1.57363865e-04, 1.38580436e-04, 1.25431761e-04, 1.16227497e-04,
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9.47613868e-05, 9.47577864e-05, 9.47552661e-05, 9.47535019e-05]), 1875: array([7.10455714e-05, 7.96485482e-05, 8.56705956e-05, 8.98860034e-05,
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9.97162643e-05, 9.97179122e-05, 9.97190658e-05, 9.97198733e-05]), 1880: array([3.52391305e-05, 3.90400970e-05, 4.24609576e-05, 4.55397237e-05,
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7.02162394e-05, 7.05194091e-05, 7.07922611e-05, 7.10378272e-05]), 1885: array([1.29333033e-04, 1.22160491e-04, 1.15705208e-04, 1.09895459e-04,
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6.33292499e-05, 6.27571324e-05, 6.22422270e-05, 6.17788126e-05]), 1890: array([3.19905776e-05, 3.39692122e-05, 3.49585333e-05, 3.54531957e-05,
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2.89902437e-05, 2.89907581e-05, 2.89911182e-05, 2.89913703e-05]), 1900: array([3.68212209e-05, 3.41976355e-05, 3.28858381e-05, 3.22299371e-05,
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0.00013145, 0.00013145, 0.00013145]), 1925: array([7.59633666e-05, 8.57319790e-05, 9.25691275e-05, 9.73545154e-05,
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0.00044645, 0.00044645, 0.00044645, 0.00044645, 0.00044645,
0.00044645, 0.00044645, 0.00044645, 0.00044645, 0.00044645,
0.00044645, 0.00044645, 0.00044645]), 4840: array([0.0009148 , 0.00087785, 0.0008424 , 0.00080838, 0.00077573,
0.00074441, 0.00071434, 0.00068549, 0.00065781, 0.00063125,
0.00060575, 0.00058129, 0.00055781, 0.00053529, 0.00051367,
0.00049293, 0.00047302, 0.00045392, 0.00043558, 0.00041799,
0.00040111, 0.00038491, 0.00036937, 0.00035445, 0.00034014,
0.0003264 , 0.00031322, 0.00030057]), 4845: array([0.00041455, 0.00041455, 0.00041455, 0.00041455, 0.00041455,
0.00041455, 0.00041455, 0.00041455, 0.00041455, 0.00041455,
0.00041455, 0.00041455, 0.00041455, 0.00041455, 0.00041455,
0.00041455, 0.00041455, 0.00041455, 0.00041455, 0.00041455,
0.00041455, 0.00041455, 0.00041455, 0.00041455, 0.00041455,
0.00041455, 0.00041455, 0.00041455]), 4850: array([1.74906195e-06, 2.71521722e-06, 3.37922027e-06, 3.83556518e-06,
4.14919428e-06, 4.36474005e-06, 4.51287674e-06, 4.61468564e-06,
4.68465517e-06, 4.73274265e-06, 4.76579142e-06, 4.78850462e-06,
4.80411457e-06, 4.81484271e-06, 4.82221577e-06, 4.82728300e-06,
4.83076553e-06, 4.83315894e-06, 4.83480384e-06, 4.83593432e-06,
4.83671126e-06, 4.83724522e-06, 4.83761219e-06, 4.83786440e-06,
4.83803773e-06, 4.83815686e-06, 4.83823873e-06, 4.83829499e-06]), 4855: array([0.00088429, 0.00070755, 0.00061573, 0.00056802, 0.00054323,
0.00053035, 0.00052366, 0.00052018, 0.00051837, 0.00051744,
0.00051695, 0.0005167 , 0.00051656, 0.0005165 , 0.00051646,
0.00051644, 0.00051643, 0.00051643, 0.00051642, 0.00051642,
0.00051642, 0.00051642, 0.00051642, 0.00051642, 0.00051642,
0.00051642, 0.00051642, 0.00051642]), 4860: array([0.00033916, 0.00035245, 0.00036573, 0.00037902, 0.00039231,
0.00040559, 0.00041888, 0.00043217, 0.00044545, 0.00045874,
0.00047203, 0.00048531, 0.0004986 , 0.00051189, 0.00052517,
0.00053846, 0.00055175, 0.00056503, 0.00057832, 0.00059161,
0.00060489, 0.00061818, 0.00063147, 0.00064475, 0.00065804,
0.00067133, 0.00068461, 0.0006979 ]), 4865: array([1.29782633e-05, 2.55167859e-05, 3.80119285e-05, 5.04638413e-05,
6.28726738e-05, 7.52385751e-05, 8.75616937e-05, 9.98421775e-05,
1.12080174e-04, 1.24275831e-04, 1.36429293e-04, 1.48540709e-04,
1.60610221e-04, 1.72637977e-04, 1.84624120e-04, 1.96568793e-04,
2.08472142e-04, 2.20334308e-04, 2.32155434e-04, 2.43935662e-04,
2.55675134e-04, 2.67373991e-04, 2.79032372e-04, 2.90650419e-04,
3.02228270e-04, 3.13766065e-04, 3.25263942e-04, 3.36722040e-04]), 4870: array([5.20246262e-04, 4.69757589e-04, 4.24169130e-04, 3.83005290e-04,
3.45836637e-04, 3.12275413e-04, 2.81971497e-04, 2.54608749e-04,
2.29901712e-04, 2.07592634e-04, 1.87448780e-04, 1.69260001e-04,
1.52836547e-04, 1.38007083e-04, 1.24616903e-04, 1.12526317e-04,
1.01609190e-04, 9.17516337e-05, 8.28508091e-05, 7.48138603e-05,
6.75569432e-05, 6.10043513e-05, 5.50877259e-05, 4.97453427e-05,
4.49214683e-05, 4.05657784e-05, 3.66328331e-05, 3.30816026e-05]), 4875: array([2.14070657e-04, 1.89349443e-04, 1.67483075e-04, 1.48141870e-04,
1.31034219e-04, 1.15902187e-04, 1.02517627e-04, 9.06787369e-05,
8.02070212e-05, 7.09445961e-05, 6.27518107e-05, 5.55051415e-05,
4.90953292e-05, 4.34257325e-05, 3.84108699e-05, 3.39751318e-05,
3.00516398e-05, 2.65812390e-05, 2.35116057e-05, 2.07964586e-05,
1.83948611e-05, 1.62706039e-05, 1.43916594e-05, 1.27296984e-05,
1.12596634e-05, 9.95939038e-06, 8.80927498e-06, 7.79197676e-06]), 4880: array([0.00039209, 0.00040989, 0.0004277 , 0.0004455 , 0.0004633 ,
0.00048111, 0.00049891, 0.00051671, 0.00053452, 0.00055232,
0.00057013, 0.00058793, 0.00060573, 0.00062354, 0.00064134,
0.00065914, 0.00067695, 0.00069475, 0.00071255, 0.00073036,
0.00074816, 0.00076596, 0.00078377, 0.00080157, 0.00081937,
0.00083718, 0.00085498, 0.00087278]), 4885: array([2.15651547e-04, 1.62946078e-04, 1.23121886e-04, 9.30307714e-05,
7.02939597e-05, 5.31140506e-05, 4.01329309e-05, 3.03244117e-05,
2.29131057e-05, 1.73131314e-05, 1.30817972e-05, 9.88460583e-06,
7.46881171e-06, 5.64344043e-06, 4.26419197e-06, 3.22203340e-06,
2.43457958e-06, 1.83958037e-06, 1.38999964e-06, 1.05029695e-06,
7.93617991e-07, 5.99671660e-07, 4.53126034e-07, 3.42396325e-07,
2.58729084e-07, 1.95510211e-07, 1.47742104e-07, 1.11648576e-07]), 4890: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4895: array([0.00657364, 0.00597927, 0.00561998, 0.00540278, 0.00527148,
0.00519212, 0.00514414, 0.00511513, 0.0050976 , 0.005087 ,
0.0050806 , 0.00507672, 0.00507438, 0.00507297, 0.00507211,
0.00507159, 0.00507128, 0.00507109, 0.00507098, 0.00507091,
0.00507087, 0.00507084, 0.00507083, 0.00507082, 0.00507081,
0.00507081, 0.00507081, 0.0050708 ]), 4900: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4905: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4910: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4915: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4920: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4925: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4930: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4935: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4940: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4945: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])}}
Resultados Modelo Volatilidad_14: {14: {0: {'params': mu 0.039803
omega 0.000011
alpha[1] 0.199991
beta[1] 0.299986
Name: params, dtype: float64, 'loglikelihood': 55.505233260448065, 'aic': -103.01046652089613, 'bic': np.float64(-100.4542372024351)}, 5: {'params': mu 0.038546
omega 0.000003
alpha[1] 0.200001
beta[1] 0.300000
Name: params, dtype: float64, 'loglikelihood': 64.18674879578789, 'aic': -120.37349759157578, 'bic': np.float64(-117.81726827311475)}, 10: {'params': mu 0.037023
omega 0.000002
alpha[1] 0.200003
beta[1] 0.699997
Name: params, dtype: float64, 'loglikelihood': 57.12200636929658, 'aic': -106.24401273859316, 'bic': np.float64(-103.68778342013212)}, 15: {'params': mu 0.031945
omega 0.000033
alpha[1] 0.200028
beta[1] 0.299990
Name: params, dtype: float64, 'loglikelihood': 48.341142662708805, 'aic': -88.68228532541761, 'bic': np.float64(-86.12605600695657)}, 20: {'params': mu 0.021874
omega 0.000022
alpha[1] 0.199973
beta[1] 0.299882
Name: params, dtype: float64, 'loglikelihood': 50.48330015336254, 'aic': -92.96660030672508, 'bic': np.float64(-90.41037098826405)}, 25: {'params': mu 0.017182
omega 0.000003
alpha[1] 0.200000
beta[1] 0.499999
Name: params, dtype: float64, 'loglikelihood': 61.97770998915806, 'aic': -115.95541997831612, 'bic': np.float64(-113.39919065985508)}, 30: {'params': mu 1.625474e-02
omega 1.738549e-07
alpha[1] 1.000000e-02
beta[1] 4.900000e-01
Name: params, dtype: float64, 'loglikelihood': 84.22505066695294, 'aic': -160.45010133390588, 'bic': np.float64(-157.89387201544486)}, 35: {'params': mu 1.599373e-02
omega 9.227763e-08
alpha[1] 1.000000e-02
beta[1] 6.900000e-01
Name: params, dtype: float64, 'loglikelihood': 85.0899909760854, 'aic': -162.1799819521708, 'bic': np.float64(-159.62375263370978)}, 40: {'params': mu 0.016987
omega 0.000003
alpha[1] 0.200316
beta[1] 0.499802
Name: params, dtype: float64, 'loglikelihood': 62.59037179785257, 'aic': -117.18074359570514, 'bic': np.float64(-114.6245142772441)}, 45: {'params': mu 0.021595
omega 0.000005
alpha[1] 0.200001
beta[1] 0.300000
Name: params, dtype: float64, 'loglikelihood': 61.51430696489072, 'aic': -115.02861392978144, 'bic': np.float64(-112.47238461132041)}, 50: {'params': mu 0.024188
omega 0.000003
alpha[1] 0.200162
beta[1] 0.499899
Name: params, dtype: float64, 'loglikelihood': 60.62993768773752, 'aic': -113.25987537547503, 'bic': np.float64(-110.703646057014)}, 55: {'params': mu 0.029393
omega 0.000008
alpha[1] 0.200018
beta[1] 0.299993
Name: params, dtype: float64, 'loglikelihood': 58.22133990883699, 'aic': -108.44267981767398, 'bic': np.float64(-105.88645049921294)}, 60: {'params': mu 0.032355
omega 0.000005
alpha[1] 0.200001
beta[1] 0.300000
Name: params, dtype: float64, 'loglikelihood': 61.78272150653541, 'aic': -115.56544301307082, 'bic': np.float64(-113.00921369460978)}, 65: {'params': mu 0.032583
omega 0.000007
alpha[1] 0.478877
beta[1] 0.195421
Name: params, dtype: float64, 'loglikelihood': 57.535754594776186, 'aic': -107.07150918955237, 'bic': np.float64(-104.51527987109134)}, 70: {'params': mu 0.026502
omega 0.000015
alpha[1] 0.200004
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 54.00459942587653, 'aic': -100.00919885175306, 'bic': np.float64(-97.45296953329202)}, 75: {'params': mu 0.021865
omega 0.000006
alpha[1] 0.200000
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 60.27207655443072, 'aic': -112.54415310886144, 'bic': np.float64(-109.9879237904004)}, 80: {'params': mu 0.020930
omega 0.000003
alpha[1] 0.200145
beta[1] 0.299945
Name: params, dtype: float64, 'loglikelihood': 63.92199242580723, 'aic': -119.84398485161447, 'bic': np.float64(-117.28775553315343)}, 85: {'params': mu 0.023611
omega 0.000006
alpha[1] 0.200002
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 59.530391083382185, 'aic': -111.06078216676437, 'bic': np.float64(-108.50455284830333)}, 90: {'params': mu 0.026469
omega 0.000002
alpha[1] 0.010000
beta[1] 0.690000
Name: params, dtype: float64, 'loglikelihood': 63.90661595180368, 'aic': -119.81323190360736, 'bic': np.float64(-117.25700258514632)}, 95: {'params': mu 0.026120
omega 0.000007
alpha[1] 0.200002
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 58.984317614959856, 'aic': -109.96863522991971, 'bic': np.float64(-107.41240591145868)}, 100: {'params': mu 0.021922
omega 0.000005
alpha[1] 0.199999
beta[1] 0.499999
Name: params, dtype: float64, 'loglikelihood': 58.56553662828455, 'aic': -109.1310732565691, 'bic': np.float64(-106.57484393810806)}, 105: {'params': mu 0.020840
omega 0.000006
alpha[1] 0.200001
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 61.473847257889105, 'aic': -114.94769451577821, 'bic': np.float64(-112.39146519731717)}, 110: {'params': mu 0.025456
omega 0.000011
alpha[1] 0.010000
beta[1] 0.490000
Name: params, dtype: float64, 'loglikelihood': 55.47083158065482, 'aic': -102.94166316130963, 'bic': np.float64(-100.3854338428486)}, 115: {'params': mu 0.027489
omega 0.000003
alpha[1] 0.200000
beta[1] 0.499999
Name: params, dtype: float64, 'loglikelihood': 61.036893898363026, 'aic': -114.07378779672605, 'bic': np.float64(-111.51755847826502)}, 120: {'params': mu 0.025654
omega 0.000020
alpha[1] 0.200005
beta[1] 0.299998
Name: params, dtype: float64, 'loglikelihood': 52.6119648742816, 'aic': -97.2239297485632, 'bic': np.float64(-94.66770043010216)}, 125: {'params': mu 0.015028
omega 0.000019
alpha[1] 0.288826
beta[1] 0.266688
Name: params, dtype: float64, 'loglikelihood': 51.048162466009686, 'aic': -94.09632493201937, 'bic': np.float64(-91.54009561355834)}, 130: {'params': mu 0.015371
omega 0.000013
alpha[1] 0.208006
beta[1] 0.494996
Name: params, dtype: float64, 'loglikelihood': 50.999272014752506, 'aic': -93.99854402950501, 'bic': np.float64(-91.44231471104398)}, 135: {'params': mu 0.023313
omega 0.000016
alpha[1] 0.200003
beta[1] 0.499992
Name: params, dtype: float64, 'loglikelihood': 50.000917454435445, 'aic': -92.00183490887089, 'bic': np.float64(-89.44560559040985)}, 140: {'params': mu 2.662355e-02
omega 3.619074e-07
alpha[1] 2.000001e-01
beta[1] 3.000000e-01
Name: params, dtype: float64, 'loglikelihood': 79.47801829800929, 'aic': -150.95603659601858, 'bic': np.float64(-148.39980727755756)}, 145: {'params': mu 0.024801
omega 0.000002
alpha[1] 0.200003
beta[1] 0.699998
Name: params, dtype: float64, 'loglikelihood': 55.85727267583062, 'aic': -103.71454535166124, 'bic': np.float64(-101.15831603320021)}, 150: {'params': mu 0.017777
omega 0.000015
alpha[1] 0.200003
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 54.17458452017191, 'aic': -100.34916904034382, 'bic': np.float64(-97.79293972188279)}, 155: {'params': mu 0.015599
omega 0.000001
alpha[1] 0.010000
beta[1] 0.490000
Name: params, dtype: float64, 'loglikelihood': 71.13199585348241, 'aic': -134.26399170696482, 'bic': np.float64(-131.7077623885038)}, 160: {'params': mu 1.489863e-02
omega 1.319738e-07
alpha[1] 2.000000e-01
beta[1] 7.000000e-01
Name: params, dtype: float64, 'loglikelihood': 76.51683989234422, 'aic': -145.03367978468845, 'bic': np.float64(-142.47745046622742)}, 165: {'params': mu 1.461491e-02
omega 8.861176e-07
alpha[1] 2.000005e-01
beta[1] 4.999997e-01
Name: params, dtype: float64, 'loglikelihood': 70.7362993733323, 'aic': -133.4725987466646, 'bic': np.float64(-130.91636942820358)}, 170: {'params': mu 0.013309
omega 0.000002
alpha[1] 0.200000
beta[1] 0.300000
Name: params, dtype: float64, 'loglikelihood': 66.76891358158153, 'aic': -125.53782716316306, 'bic': np.float64(-122.98159784470202)}, 175: {'params': mu 0.012952
omega 0.000001
alpha[1] 0.200000
beta[1] 0.300000
Name: params, dtype: float64, 'loglikelihood': 69.62699937505366, 'aic': -131.2539987501073, 'bic': np.float64(-128.6977694316463)}, 180: {'params': mu 0.013670
omega 0.000002
alpha[1] 0.010000
beta[1] 0.490000
Name: params, dtype: float64, 'loglikelihood': 67.86771193979322, 'aic': -127.73542387958645, 'bic': np.float64(-125.17919456112541)}, 185: {'params': mu 0.015836
omega 0.000010
alpha[1] 0.200004
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 56.628102868161264, 'aic': -105.25620573632253, 'bic': np.float64(-102.69997641786149)}, 190: {'params': mu 0.021678
omega 0.000005
alpha[1] 0.200000
beta[1] 0.499999
Name: params, dtype: float64, 'loglikelihood': 59.26770084667092, 'aic': -110.53540169334184, 'bic': np.float64(-107.9791723748808)}, 195: {'params': mu 0.023462
omega 0.000002
alpha[1] 0.200000
beta[1] 0.300000
Name: params, dtype: float64, 'loglikelihood': 69.41857543142915, 'aic': -130.8371508628583, 'bic': np.float64(-128.28092154439727)}, 200: {'params': mu 0.023117
omega 0.000002
alpha[1] 0.198030
beta[1] 0.296896
Name: params, dtype: float64, 'loglikelihood': 67.31764488198237, 'aic': -126.63528976396475, 'bic': np.float64(-124.07906044550371)}, 205: {'params': mu 0.022747
omega 0.000002
alpha[1] 0.200000
beta[1] 0.300000
Name: params, dtype: float64, 'loglikelihood': 66.54745490414258, 'aic': -125.09490980828517, 'bic': np.float64(-122.53868048982413)}, 210: {'params': mu 0.020609
omega 0.000013
alpha[1] 0.308086
beta[1] 0.435714
Name: params, dtype: float64, 'loglikelihood': 54.478197667862446, 'aic': -100.95639533572489, 'bic': np.float64(-98.40016601726386)}, 215: {'params': mu 0.012697
omega 0.000013
alpha[1] 0.200253
beta[1] 0.499449
Name: params, dtype: float64, 'loglikelihood': 50.79169759107865, 'aic': -93.5833951821573, 'bic': np.float64(-91.02716586369627)}, 220: {'params': mu 0.009943
omega 0.000004
alpha[1] 0.200000
beta[1] 0.499999
Name: params, dtype: float64, 'loglikelihood': 60.83439914199056, 'aic': -113.66879828398112, 'bic': np.float64(-111.11256896552008)}, 225: {'params': mu 9.916900e-03
omega 7.742831e-07
alpha[1] 1.000003e-02
beta[1] 4.900000e-01
Name: params, dtype: float64, 'loglikelihood': 73.78312745192936, 'aic': -139.56625490385872, 'bic': np.float64(-137.0100255853977)}, 230: {'params': mu 0.010903
omega 0.000002
alpha[1] 0.200000
beta[1] 0.500000
Name: params, dtype: float64, 'loglikelihood': 64.64150678462704, 'aic': -121.28301356925408, 'bic': np.float64(-118.72678425079305)}, 235: {'params': mu 0.013694
omega 0.000004
alpha[1] 0.200018
beta[1] 0.299989
Name: params, dtype: float64, 'loglikelihood': 61.7561135272257, 'aic': -115.5122270544514, 'bic': np.float64(-112.95599773599037)}, 240: {'params': mu 0.015785
omega 0.000001
alpha[1] 0.200000
beta[1] 0.500000
Name: params, dtype: float64, 'loglikelihood': 68.3122594169046, 'aic': -128.6245188338092, 'bic': np.float64(-126.06828951534816)}, 245: {'params': mu 1.535694e-02
omega 4.376173e-07
alpha[1] 2.000002e-01
beta[1] 6.999998e-01
Name: params, dtype: float64, 'loglikelihood': 67.70826297470407, 'aic': -127.41652594940814, 'bic': np.float64(-124.8602966309471)}, 250: {'params': mu 1.342410e-02
omega 5.541168e-07
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alpha[1] 9.999997e-03
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Name: params, dtype: float64, 'loglikelihood': 50.56842116259185, 'aic': -93.1368423251837, 'bic': np.float64(-90.58061300672266)}, 1605: {'params': mu 4.571319e-02
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Name: params, dtype: float64, 'loglikelihood': 41.30120872221742, 'aic': -74.60241744443483, 'bic': np.float64(-72.0461881259738)}, 1610: {'params': mu 0.025425
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Name: params, dtype: float64, 'loglikelihood': 43.17307391765511, 'aic': -78.34614783531022, 'bic': np.float64(-75.78991851684918)}, 1640: {'params': mu 0.018516
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Name: params, dtype: float64, 'loglikelihood': 61.91866819285782, 'aic': -115.83733638571564, 'bic': np.float64(-113.28110706725461)}, 1660: {'params': mu 0.030335
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Name: params, dtype: float64, 'loglikelihood': 60.76532314032777, 'aic': -113.53064628065555, 'bic': np.float64(-110.97441696219451)}, 1665: {'params': mu 0.035055
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Name: params, dtype: float64, 'loglikelihood': 57.82666585634891, 'aic': -107.65333171269782, 'bic': np.float64(-105.09710239423679)}, 1670: {'params': mu 0.038985
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Name: params, dtype: float64, 'loglikelihood': 60.17685066351972, 'aic': -112.35370132703945, 'bic': np.float64(-109.79747200857841)}, 1675: {'params': mu 4.002795e-02
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Name: params, dtype: float64, 'loglikelihood': 63.06481076472768, 'aic': -118.12962152945536, 'bic': np.float64(-115.57339221099433)}, 1680: {'params': mu 0.036361
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Name: params, dtype: float64, 'loglikelihood': 54.16598936379848, 'aic': -100.33197872759696, 'bic': np.float64(-97.77574940913593)}, 1685: {'params': mu 0.031908
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Name: params, dtype: float64, 'loglikelihood': 43.565178313002555, 'aic': -79.13035662600511, 'bic': np.float64(-76.57412730754407)}, 1695: {'params': mu 0.057836
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Name: params, dtype: float64, 'loglikelihood': 39.53355856543434, 'aic': -71.06711713086868, 'bic': np.float64(-68.51088781240765)}, 1700: {'params': mu 0.065523
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Name: params, dtype: float64, 'loglikelihood': 48.723343744691476, 'aic': -89.44668748938295, 'bic': np.float64(-86.89045817092192)}, 1715: {'params': mu 0.071812
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Name: params, dtype: float64, 'loglikelihood': 41.66370899224342, 'aic': -75.32741798448684, 'bic': np.float64(-72.77118866602581)}, 1735: {'params': mu 0.030745
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Name: params, dtype: float64, 'loglikelihood': 59.522414669462236, 'aic': -111.04482933892447, 'bic': np.float64(-108.48860002046344)}, 1745: {'params': mu 0.035905
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Name: params, dtype: float64, 'loglikelihood': 49.98764027524799, 'aic': -91.97528055049598, 'bic': np.float64(-89.41905123203495)}, 1770: {'params': mu 0.038193
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alpha[1] 0.200001
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alpha[1] 0.200000
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Name: params, dtype: float64, 'loglikelihood': 51.69674302769167, 'aic': -95.39348605538333, 'bic': np.float64(-92.8372567369223)}, 1880: {'params': mu 3.431546e-02
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alpha[1] 1.000000e+00
beta[1] 2.559567e-10
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alpha[1] 0.200002
beta[1] 0.299999
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alpha[1] 9.999997e-03
beta[1] 8.900000e-01
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alpha[1] 0.199998
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alpha[1] 0.200010
beta[1] 0.299996
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beta[1] 0.298983
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alpha[1] 0.200004
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beta[1] 0.299994
Name: params, dtype: float64, 'loglikelihood': 46.06406941841519, 'aic': -84.12813883683037, 'bic': np.float64(-81.57190951836934)}, 1930: {'params': mu 0.058381
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alpha[1] 0.200003
beta[1] 0.299998
Name: params, dtype: float64, 'loglikelihood': 48.30227835572119, 'aic': -88.60455671144238, 'bic': np.float64(-86.04832739298135)}, 1935: {'params': mu 6.037828e-02
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alpha[1] 3.482439e-01
beta[1] 3.301157e-07
Name: params, dtype: float64, 'loglikelihood': 53.945655528595466, 'aic': -99.89131105719093, 'bic': np.float64(-97.3350817387299)}, 1940: {'params': mu 0.063492
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alpha[1] 1.000000
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alpha[1] 0.990312
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': 39.59464987063441, 'aic': -71.18929974126883, 'bic': np.float64(-68.63307042280779)}, 1950: {'params': mu 0.010187
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alpha[1] 0.942172
beta[1] 0.034382
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beta[1] 0.499996
Name: params, dtype: float64, 'loglikelihood': 50.14166485451622, 'aic': -92.28332970903244, 'bic': np.float64(-89.72710039057141)}, 1960: {'params': mu 8.551211e-03
omega 4.045365e-07
alpha[1] 2.000001e-01
beta[1] 2.999999e-01
Name: params, dtype: float64, 'loglikelihood': 78.92400941393642, 'aic': -149.84801882787283, 'bic': np.float64(-147.2917895094118)}, 1965: {'params': mu 0.009948
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alpha[1] 0.200004
beta[1] 0.499998
Name: params, dtype: float64, 'loglikelihood': 55.11980021840069, 'aic': -102.23960043680138, 'bic': np.float64(-99.68337111834035)}, 1970: {'params': mu 0.018294
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beta[1] 0.299968
Name: params, dtype: float64, 'loglikelihood': 51.172287780076985, 'aic': -94.34457556015397, 'bic': np.float64(-91.78834624169293)}, 1975: {'params': mu 0.022442
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alpha[1] 0.200001
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 61.813505870528125, 'aic': -115.62701174105625, 'bic': np.float64(-113.07078242259522)}, 1980: {'params': mu 0.021431
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alpha[1] 0.200004
beta[1] 0.299998
Name: params, dtype: float64, 'loglikelihood': 56.482160626476634, 'aic': -104.96432125295327, 'bic': np.float64(-102.40809193449223)}, 1985: {'params': mu 0.016044
omega 0.000009
alpha[1] 0.200000
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 57.164367877161965, 'aic': -106.32873575432393, 'bic': np.float64(-103.7725064358629)}, 1990: {'params': mu 0.015851
omega 0.000005
alpha[1] 0.200001
beta[1] 0.300000
Name: params, dtype: float64, 'loglikelihood': 60.83541547058186, 'aic': -113.67083094116371, 'bic': np.float64(-111.11460162270268)}, 1995: {'params': mu 0.018694
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beta[1] 0.300000
Name: params, dtype: float64, 'loglikelihood': 63.618044578462225, 'aic': -119.23608915692445, 'bic': np.float64(-116.67985983846341)}, 2000: {'params': mu 1.940300e-02
omega 8.650294e-07
alpha[1] 2.000000e-01
beta[1] 3.000000e-01
Name: params, dtype: float64, 'loglikelihood': 73.33744640727849, 'aic': -138.67489281455698, 'bic': np.float64(-136.11866349609596)}, 2005: {'params': mu 0.022034
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alpha[1] 0.200007
beta[1] 0.499996
Name: params, dtype: float64, 'loglikelihood': 52.507755788145836, 'aic': -97.01551157629167, 'bic': np.float64(-94.45928225783064)}, 2010: {'params': mu 0.030063
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alpha[1] 0.199999
beta[1] 0.499998
Name: params, dtype: float64, 'loglikelihood': 53.63158426819744, 'aic': -99.26316853639489, 'bic': np.float64(-96.70693921793385)}, 2015: {'params': mu 0.030891
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beta[1] 0.890000
Name: params, dtype: float64, 'loglikelihood': 56.22669892315098, 'aic': -104.45339784630195, 'bic': np.float64(-101.89716852784092)}, 2020: {'params': mu 2.748659e-02
omega 2.793512e-05
alpha[1] 3.552710e-01
beta[1] 3.079512e-11
Name: params, dtype: float64, 'loglikelihood': 50.49804353782284, 'aic': -92.99608707564568, 'bic': np.float64(-90.43985775718464)}, 2025: {'params': mu 0.023221
omega 0.000003
alpha[1] 0.200000
beta[1] 0.699998
Name: params, dtype: float64, 'loglikelihood': 55.57898196501427, 'aic': -103.15796393002854, 'bic': np.float64(-100.60173461156751)}, 2030: {'params': mu 0.024157
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beta[1] 0.299996
Name: params, dtype: float64, 'loglikelihood': 56.567664708283175, 'aic': -105.13532941656635, 'bic': np.float64(-102.57910009810531)}, 2035: {'params': mu 0.030575
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Name: params, dtype: float64, 'loglikelihood': 55.13886973190816, 'aic': -102.27773946381632, 'bic': np.float64(-99.72151014535528)}, 2040: {'params': mu 3.233182e-02
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alpha[1] 2.000000e-01
beta[1] 6.999999e-01
Name: params, dtype: float64, 'loglikelihood': 69.26503753703875, 'aic': -130.5300750740775, 'bic': np.float64(-127.97384575561647)}, 2045: {'params': mu 0.032001
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Name: params, dtype: float64, 'loglikelihood': 62.24539536161211, 'aic': -116.49079072322422, 'bic': np.float64(-113.93456140476319)}, 2050: {'params': mu 0.032804
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Name: params, dtype: float64, 'loglikelihood': 60.7091547174636, 'aic': -113.4183094349272, 'bic': np.float64(-110.86208011646616)}, 2055: {'params': mu 0.034530
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Name: params, dtype: float64, 'loglikelihood': 61.41497905588511, 'aic': -114.82995811177022, 'bic': np.float64(-112.27372879330919)}, 2060: {'params': mu 3.429782e-02
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alpha[1] 2.000000e-01
beta[1] 5.000000e-01
Name: params, dtype: float64, 'loglikelihood': 75.47755229288288, 'aic': -142.95510458576575, 'bic': np.float64(-140.39887526730473)}, 2065: {'params': mu 0.033322
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Name: params, dtype: float64, 'loglikelihood': 63.57717625435413, 'aic': -119.15435250870826, 'bic': np.float64(-116.59812319024722)}, 2070: {'params': mu 0.030696
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Name: params, dtype: float64, 'loglikelihood': 57.931504786061026, 'aic': -107.86300957212205, 'bic': np.float64(-105.30678025366102)}, 2075: {'params': mu 0.027324
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Name: params, dtype: float64, 'loglikelihood': 60.85059425609185, 'aic': -113.7011885121837, 'bic': np.float64(-111.14495919372267)}, 2080: {'params': mu 0.030148
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Name: params, dtype: float64, 'loglikelihood': 50.45240718936126, 'aic': -92.90481437872252, 'bic': np.float64(-90.34858506026148)}, 2085: {'params': mu 0.037851
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Name: params, dtype: float64, 'loglikelihood': 53.088402801636036, 'aic': -98.17680560327207, 'bic': np.float64(-95.62057628481104)}, 2090: {'params': mu 0.040951
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Name: params, dtype: float64, 'loglikelihood': 61.0890085198689, 'aic': -114.1780170397378, 'bic': np.float64(-111.62178772127676)}, 2095: {'params': mu 0.040717
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Name: params, dtype: float64, 'loglikelihood': 60.30018864102954, 'aic': -112.60037728205909, 'bic': np.float64(-110.04414796359805)}, 2100: {'params': mu 0.039641
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Name: params, dtype: float64, 'loglikelihood': 57.923151452073085, 'aic': -107.84630290414617, 'bic': np.float64(-105.29007358568514)}, 2105: {'params': mu 0.034841
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Name: params, dtype: float64, 'loglikelihood': 48.98315249605866, 'aic': -89.96630499211732, 'bic': np.float64(-87.41007567365628)}, 2110: {'params': mu 0.029132
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Name: params, dtype: float64, 'loglikelihood': 52.09347359208556, 'aic': -96.18694718417112, 'bic': np.float64(-93.63071786571008)}, 2115: {'params': mu 0.027968
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Name: params, dtype: float64, 'loglikelihood': 57.84291722621335, 'aic': -107.6858344524267, 'bic': np.float64(-105.12960513396567)}, 2120: {'params': mu 0.030047
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Name: params, dtype: float64, 'loglikelihood': 67.92888446891833, 'aic': -127.85776893783665, 'bic': np.float64(-125.30153961937562)}, 2125: {'params': mu 0.029116
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Name: params, dtype: float64, 'loglikelihood': 64.52782893178966, 'aic': -121.05565786357931, 'bic': np.float64(-118.49942854511828)}, 2130: {'params': mu 0.029691
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Name: params, dtype: float64, 'loglikelihood': 66.03341778797405, 'aic': -124.06683557594809, 'bic': np.float64(-121.51060625748705)}, 2135: {'params': mu 0.030246
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Name: params, dtype: float64, 'loglikelihood': 57.98982631061739, 'aic': -107.97965262123478, 'bic': np.float64(-105.42342330277374)}, 2140: {'params': mu 0.035795
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Name: params, dtype: float64, 'loglikelihood': 52.36454343131513, 'aic': -96.72908686263025, 'bic': np.float64(-94.17285754416922)}, 2145: {'params': mu 0.041532
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Name: params, dtype: float64, 'loglikelihood': 56.004254054867744, 'aic': -104.00850810973549, 'bic': np.float64(-101.45227879127445)}, 2150: {'params': mu 0.043037
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Name: params, dtype: float64, 'loglikelihood': 63.411681704700676, 'aic': -118.82336340940135, 'bic': np.float64(-116.26713409094032)}, 2155: {'params': mu 0.043215
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Name: params, dtype: float64, 'loglikelihood': 60.9509261531814, 'aic': -113.9018523063628, 'bic': np.float64(-111.34562298790176)}, 2160: {'params': mu 0.045054
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Name: params, dtype: float64, 'loglikelihood': 56.97197503112556, 'aic': -105.94395006225112, 'bic': np.float64(-103.38772074379008)}, 2165: {'params': mu 0.047727
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Name: params, dtype: float64, 'loglikelihood': 63.227459524298766, 'aic': -118.45491904859753, 'bic': np.float64(-115.8986897301365)}, 2170: {'params': mu 0.047395
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Name: params, dtype: float64, 'loglikelihood': 65.2295859338317, 'aic': -122.4591718676634, 'bic': np.float64(-119.90294254920236)}, 2175: {'params': mu 0.044576
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Name: params, dtype: float64, 'loglikelihood': 57.66756668001809, 'aic': -107.33513336003618, 'bic': np.float64(-104.77890404157515)}, 2180: {'params': mu 0.043977
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Name: params, dtype: float64, 'loglikelihood': 57.563550875086314, 'aic': -107.12710175017263, 'bic': np.float64(-104.57087243171159)}, 2185: {'params': mu 0.047226
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Name: params, dtype: float64, 'loglikelihood': 52.84964034717464, 'aic': -97.69928069434928, 'bic': np.float64(-95.14305137588825)}, 2190: {'params': mu 0.050734
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Name: params, dtype: float64, 'loglikelihood': 59.381214758378775, 'aic': -110.76242951675755, 'bic': np.float64(-108.20620019829651)}, 2195: {'params': mu 0.050509
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Name: params, dtype: float64, 'loglikelihood': 60.7431867945392, 'aic': -113.4863735890784, 'bic': np.float64(-110.93014427061736)}, 2200: {'params': mu 0.048490
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Name: params, dtype: float64, 'loglikelihood': 61.15988780753619, 'aic': -114.31977561507237, 'bic': np.float64(-111.76354629661134)}, 2205: {'params': mu 0.049177
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Name: params, dtype: float64, 'loglikelihood': 55.23770812424475, 'aic': -102.4754162484895, 'bic': np.float64(-99.91918693002846)}, 2210: {'params': mu 0.056643
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Name: params, dtype: float64, 'loglikelihood': 50.22857533808342, 'aic': -92.45715067616683, 'bic': np.float64(-89.9009213577058)}, 2215: {'params': mu 0.063363
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Name: params, dtype: float64, 'loglikelihood': 45.041237886080715, 'aic': -82.08247577216143, 'bic': np.float64(-79.5262464537004)}, 2220: {'params': mu 7.683294e-02
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Name: params, dtype: float64, 'loglikelihood': 41.75939265446874, 'aic': -75.51878530893748, 'bic': np.float64(-72.96255599047645)}, 2225: {'params': mu 0.083116
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Name: params, dtype: float64, 'loglikelihood': 44.762714398299586, 'aic': -81.52542879659917, 'bic': np.float64(-78.96919947813814)}, 2235: {'params': mu 0.069907
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Name: params, dtype: float64, 'loglikelihood': 106.4189804449883, 'aic': -204.8379608899766, 'bic': np.float64(-199.5091428492758)}, 1740: {'params': mu 0.036433
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Name: params, dtype: float64, 'loglikelihood': 94.45107883837332, 'aic': -180.90215767674664, 'bic': np.float64(-175.57333963604583)}, 1750: {'params': mu 0.043405
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Name: params, dtype: float64, 'loglikelihood': 96.22648415508446, 'aic': -184.45296831016893, 'bic': np.float64(-179.12415026946812)}, 1755: {'params': mu 0.044217
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Name: params, dtype: float64, 'loglikelihood': 87.8955207505064, 'aic': -167.7910415010128, 'bic': np.float64(-162.462223460312)}, 1760: {'params': mu 0.044265
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Name: params, dtype: float64, 'loglikelihood': 81.86719275793185, 'aic': -155.7343855158637, 'bic': np.float64(-150.40556747516288)}, 1765: {'params': mu 0.028888
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Name: params, dtype: float64, 'loglikelihood': 78.84193472045544, 'aic': -149.68386944091088, 'bic': np.float64(-144.35505140021007)}, 1770: {'params': mu 0.022412
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Name: params, dtype: float64, 'loglikelihood': 90.7192531930967, 'aic': -173.4385063861934, 'bic': np.float64(-168.1096883454926)}, 1775: {'params': mu 2.165025e-02
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alpha[1] 1.999999e-01
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Name: params, dtype: float64, 'loglikelihood': 112.4433400489993, 'aic': -216.8866800979986, 'bic': np.float64(-211.5578620572978)}, 1780: {'params': mu 0.021387
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Name: params, dtype: float64, 'loglikelihood': 103.77111095084376, 'aic': -199.54222190168753, 'bic': np.float64(-194.21340386098672)}, 1785: {'params': mu 0.023294
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Name: params, dtype: float64, 'loglikelihood': 94.13732170865973, 'aic': -180.27464341731945, 'bic': np.float64(-174.94582537661864)}, 1790: {'params': mu 0.028227
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Name: params, dtype: float64, 'loglikelihood': 89.29647736996289, 'aic': -170.59295473992577, 'bic': np.float64(-165.26413669922496)}, 1795: {'params': mu 0.030350
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Name: params, dtype: float64, 'loglikelihood': 85.80511392323194, 'aic': -163.61022784646389, 'bic': np.float64(-158.28140980576308)}, 1800: {'params': mu 0.033161
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Name: params, dtype: float64, 'loglikelihood': 81.36406425005225, 'aic': -154.7281285001045, 'bic': np.float64(-149.3993104594037)}, 1805: {'params': mu 0.017808
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Name: params, dtype: float64, 'loglikelihood': 77.2019991164438, 'aic': -146.4039982328876, 'bic': np.float64(-141.0751801921868)}, 1810: {'params': mu 0.013946
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Name: params, dtype: float64, 'loglikelihood': 87.97807969127597, 'aic': -167.95615938255193, 'bic': np.float64(-162.62734134185112)}, 1815: {'params': mu 0.014005
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Name: params, dtype: float64, 'loglikelihood': 95.17612473544655, 'aic': -182.3522494708931, 'bic': np.float64(-177.0234314301923)}, 1820: {'params': mu 0.012271
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Name: params, dtype: float64, 'loglikelihood': 101.70262496664384, 'aic': -195.40524993328768, 'bic': np.float64(-190.07643189258687)}, 1825: {'params': mu 0.015131
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Name: params, dtype: float64, 'loglikelihood': 91.77190629123116, 'aic': -175.54381258246232, 'bic': np.float64(-170.2149945417615)}, 1830: {'params': mu 0.026653
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Name: params, dtype: float64, 'loglikelihood': 90.42356552289671, 'aic': -172.84713104579342, 'bic': np.float64(-167.5183130050926)}, 1835: {'params': mu 0.026867
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Name: params, dtype: float64, 'loglikelihood': 96.7836559215182, 'aic': -185.5673118430364, 'bic': np.float64(-180.2384938023356)}, 1840: {'params': mu 0.026812
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Name: params, dtype: float64, 'loglikelihood': 101.58375205525677, 'aic': -195.16750411051353, 'bic': np.float64(-189.83868606981272)}, 1845: {'params': mu 0.024828
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Name: params, dtype: float64, 'loglikelihood': 102.78949682420577, 'aic': -197.57899364841154, 'bic': np.float64(-192.25017560771073)}, 1850: {'params': mu 0.022145
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Name: params, dtype: float64, 'loglikelihood': 101.60945324630754, 'aic': -195.21890649261508, 'bic': np.float64(-189.89008845191427)}, 1855: {'params': mu 0.020487
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Name: params, dtype: float64, 'loglikelihood': 108.03055711145272, 'aic': -208.06111422290545, 'bic': np.float64(-202.73229618220464)}, 1860: {'params': mu 2.023813e-02
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alpha[1] 3.813008e-01
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Name: params, dtype: float64, 'loglikelihood': 108.54581880838822, 'aic': -209.09163761677644, 'bic': np.float64(-203.76281957607563)}, 1865: {'params': mu 0.019516
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Name: params, dtype: float64, 'loglikelihood': 99.54135421762429, 'aic': -191.08270843524858, 'bic': np.float64(-185.75389039454777)}, 1870: {'params': mu 0.020372
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Name: params, dtype: float64, 'loglikelihood': 91.38714894723955, 'aic': -174.7742978944791, 'bic': np.float64(-169.4454798537783)}, 1875: {'params': mu 0.031840
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Name: params, dtype: float64, 'loglikelihood': 90.91107354806594, 'aic': -173.82214709613189, 'bic': np.float64(-168.49332905543108)}, 1880: {'params': mu 0.036063
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Name: params, dtype: float64, 'loglikelihood': 100.11098759242068, 'aic': -192.22197518484137, 'bic': np.float64(-186.89315714414056)}, 1885: {'params': mu 0.037298
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Name: params, dtype: float64, 'loglikelihood': 102.10281057546823, 'aic': -196.20562115093645, 'bic': np.float64(-190.87680311023564)}, 1890: {'params': mu 0.039656
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Name: params, dtype: float64, 'loglikelihood': 105.50320740614295, 'aic': -203.0064148122859, 'bic': np.float64(-197.6775967715851)}, 1895: {'params': mu 0.041797
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alpha[1] 0.200001
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Name: params, dtype: float64, 'loglikelihood': 107.97726779526369, 'aic': -207.95453559052737, 'bic': np.float64(-202.62571754982656)}, 1900: {'params': mu 0.041974
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Name: params, dtype: float64, 'loglikelihood': 106.83860556599988, 'aic': -205.67721113199977, 'bic': np.float64(-200.34839309129896)}, 1905: {'params': mu 0.043682
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Name: params, dtype: float64, 'loglikelihood': 106.71490552988436, 'aic': -205.42981105976872, 'bic': np.float64(-200.10099301906791)}, 1910: {'params': mu 0.045797
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Name: params, dtype: float64, 'loglikelihood': 101.08836734436888, 'aic': -194.17673468873775, 'bic': np.float64(-188.84791664803694)}, 1915: {'params': mu 0.045117
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Name: params, dtype: float64, 'loglikelihood': 90.68568953814979, 'aic': -173.37137907629958, 'bic': np.float64(-168.04256103559877)}, 1920: {'params': mu 0.052130
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Name: params, dtype: float64, 'loglikelihood': 86.8149795433153, 'aic': -165.6299590866306, 'bic': np.float64(-160.3011410459298)}, 1925: {'params': mu 0.054329
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Name: params, dtype: float64, 'loglikelihood': 91.2848616068066, 'aic': -174.5697232136132, 'bic': np.float64(-169.2409051729124)}, 1930: {'params': mu 0.054552
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Name: params, dtype: float64, 'loglikelihood': 86.26450976375453, 'aic': -164.52901952750906, 'bic': np.float64(-159.20020148680825)}, 1935: {'params': mu 0.060414
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Name: params, dtype: float64, 'loglikelihood': 76.465660312039, 'aic': -144.931320624078, 'bic': np.float64(-139.6025025833772)}, 1940: {'params': mu 0.016970
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Name: params, dtype: float64, 'loglikelihood': 69.16852674375423, 'aic': -130.33705348750846, 'bic': np.float64(-125.00823544680765)}, 1945: {'params': mu 0.016483
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Name: params, dtype: float64, 'loglikelihood': 73.98422398888182, 'aic': -139.96844797776365, 'bic': np.float64(-134.63962993706284)}, 1950: {'params': mu 0.012365
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Name: params, dtype: float64, 'loglikelihood': 89.87439647154797, 'aic': -171.74879294309594, 'bic': np.float64(-166.41997490239513)}, 1955: {'params': mu 0.012397
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Name: params, dtype: float64, 'loglikelihood': 99.34215816274614, 'aic': -190.6843163254923, 'bic': np.float64(-185.35549828479148)}, 1960: {'params': mu 0.012339
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Name: params, dtype: float64, 'loglikelihood': 100.8814929890655, 'aic': -193.762985978131, 'bic': np.float64(-188.4341679374302)}, 1965: {'params': mu 0.017360
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Name: params, dtype: float64, 'loglikelihood': 102.26548369076481, 'aic': -196.53096738152962, 'bic': np.float64(-191.2021493408288)}, 1970: {'params': mu 0.017325
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Name: params, dtype: float64, 'loglikelihood': 106.39267370844209, 'aic': -204.78534741688418, 'bic': np.float64(-199.45652937618337)}, 1975: {'params': mu 0.018756
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alpha[1] 0.200001
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Name: params, dtype: float64, 'loglikelihood': 113.89353111726072, 'aic': -219.78706223452144, 'bic': np.float64(-214.45824419382063)}, 1980: {'params': mu 0.019440
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Name: params, dtype: float64, 'loglikelihood': 116.00692693356625, 'aic': -224.0138538671325, 'bic': np.float64(-218.6850358264317)}, 1985: {'params': mu 0.018524
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Name: params, dtype: float64, 'loglikelihood': 121.42885525039732, 'aic': -234.85771050079464, 'bic': np.float64(-229.52889246009383)}, 1990: {'params': mu 0.018787
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Name: params, dtype: float64, 'loglikelihood': 108.95744067407584, 'aic': -209.91488134815168, 'bic': np.float64(-204.58606330745087)}, 1995: {'params': mu 0.020372
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Name: params, dtype: float64, 'loglikelihood': 104.99931865520122, 'aic': -201.99863731040244, 'bic': np.float64(-196.66981926970163)}, 2000: {'params': mu 0.025684
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Name: params, dtype: float64, 'loglikelihood': 101.79123932468345, 'aic': -195.5824786493669, 'bic': np.float64(-190.25366060866608)}, 2005: {'params': mu 0.024325
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Name: params, dtype: float64, 'loglikelihood': 100.71572290692654, 'aic': -193.4314458138531, 'bic': np.float64(-188.10262777315228)}, 2010: {'params': mu 0.025959
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Name: params, dtype: float64, 'loglikelihood': 103.46535633348078, 'aic': -198.93071266696157, 'bic': np.float64(-193.60189462626076)}, 2015: {'params': mu 0.027993
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Name: params, dtype: float64, 'loglikelihood': 106.1551262650966, 'aic': -204.3102525301932, 'bic': np.float64(-198.9814344894924)}, 2020: {'params': mu 0.028129
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Name: params, dtype: float64, 'loglikelihood': 104.34843452065513, 'aic': -200.69686904131026, 'bic': np.float64(-195.36805100060946)}, 2025: {'params': mu 0.028074
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Name: params, dtype: float64, 'loglikelihood': 126.33426736083044, 'aic': -244.66853472166088, 'bic': np.float64(-239.33971668096007)}, 2045: {'params': mu 0.033572
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Name: params, dtype: float64, 'loglikelihood': 65.0199903661015, 'aic': -122.03998073220299, 'bic': np.float64(-117.8618909813093)}, 1930: {'params': mu 0.057094
omega 0.000024
alpha[1] 0.200003
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 75.75524650259504, 'aic': -143.51049300519009, 'bic': np.float64(-139.3324032542964)}, 1935: {'params': mu 0.057070
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alpha[1] 0.200026
beta[1] 0.299990
Name: params, dtype: float64, 'loglikelihood': 65.0255347781363, 'aic': -122.05106955627261, 'bic': np.float64(-117.87297980537892)}, 1940: {'params': mu 0.053162
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alpha[1] 0.395988
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Name: params, dtype: float64, 'loglikelihood': 55.91569307424145, 'aic': -103.8313861484829, 'bic': np.float64(-99.65329639758922)}, 1945: {'params': mu 0.011925
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alpha[1] 0.989487
beta[1] 0.005522
Name: params, dtype: float64, 'loglikelihood': 56.42850205617639, 'aic': -104.85700411235278, 'bic': np.float64(-100.67891436145909)}, 1950: {'params': mu 0.013822
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alpha[1] 0.201218
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Name: params, dtype: float64, 'loglikelihood': 61.56399887885585, 'aic': -115.1279977577117, 'bic': np.float64(-110.949908006818)}, 1955: {'params': mu 0.010299
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alpha[1] 0.200001
beta[1] 0.499997
Name: params, dtype: float64, 'loglikelihood': 78.94651278033471, 'aic': -149.89302556066943, 'bic': np.float64(-145.71493580977574)}, 1960: {'params': mu 0.009788
omega 0.000003
alpha[1] 0.200003
beta[1] 0.699997
Name: params, dtype: float64, 'loglikelihood': 83.90080000256368, 'aic': -159.80160000512737, 'bic': np.float64(-155.62351025423368)}, 1965: {'params': mu 0.015580
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alpha[1] 0.236585
beta[1] 0.286281
Name: params, dtype: float64, 'loglikelihood': 74.6637318490802, 'aic': -141.3274636981604, 'bic': np.float64(-137.1493739472667)}, 1970: {'params': mu 0.020428
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alpha[1] 0.200000
beta[1] 0.499999
Name: params, dtype: float64, 'loglikelihood': 80.37109425628391, 'aic': -152.74218851256782, 'bic': np.float64(-148.56409876167413)}, 1975: {'params': mu 0.020139
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alpha[1] 0.200003
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 84.04810523870671, 'aic': -160.09621047741342, 'bic': np.float64(-155.91812072651973)}, 1980: {'params': mu 0.018331
omega 0.000011
alpha[1] 0.200002
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 83.80658197404964, 'aic': -159.61316394809927, 'bic': np.float64(-155.43507419720558)}, 1985: {'params': mu 0.017869
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alpha[1] 0.200001
beta[1] 0.300000
Name: params, dtype: float64, 'loglikelihood': 87.81784934335074, 'aic': -167.6356986867015, 'bic': np.float64(-163.4576089358078)}, 1990: {'params': mu 0.017651
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alpha[1] 0.200003
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 91.900370098326, 'aic': -175.800740196652, 'bic': np.float64(-171.6226504457583)}, 1995: {'params': mu 0.019420
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alpha[1] 0.200009
beta[1] 0.299997
Name: params, dtype: float64, 'loglikelihood': 85.4059791307255, 'aic': -162.811958261451, 'bic': np.float64(-158.6338685105573)}, 2000: {'params': mu 0.021350
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alpha[1] 0.201587
beta[1] 0.698612
Name: params, dtype: float64, 'loglikelihood': 80.68242387051882, 'aic': -153.36484774103764, 'bic': np.float64(-149.18675799014395)}, 2005: {'params': mu 0.029098
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alpha[1] 0.200003
beta[1] 0.499996
Name: params, dtype: float64, 'loglikelihood': 77.34493718807003, 'aic': -146.68987437614007, 'bic': np.float64(-142.51178462524638)}, 2010: {'params': mu 0.028731
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alpha[1] 0.200012
beta[1] 0.299995
Name: params, dtype: float64, 'loglikelihood': 76.1741278282774, 'aic': -144.3482556565548, 'bic': np.float64(-140.17016590566112)}, 2015: {'params': mu 0.028832
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beta[1] 0.299963
Name: params, dtype: float64, 'loglikelihood': 78.63356711595678, 'aic': -149.26713423191356, 'bic': np.float64(-145.08904448101987)}, 2020: {'params': mu 0.024693
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alpha[1] 0.199999
beta[1] 0.699998
Name: params, dtype: float64, 'loglikelihood': 80.5197597251221, 'aic': -153.0395194502442, 'bic': np.float64(-148.8614296993505)}, 2025: {'params': mu 0.025144
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alpha[1] 0.200003
beta[1] 0.499998
Name: params, dtype: float64, 'loglikelihood': 78.6183236455571, 'aic': -149.2366472911142, 'bic': np.float64(-145.0585575402205)}, 2030: {'params': mu 0.027656
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alpha[1] 0.199999
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Name: params, dtype: float64, 'loglikelihood': 80.63320344100109, 'aic': -153.26640688200217, 'bic': np.float64(-149.08831713110848)}, 2035: {'params': mu 0.031240
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alpha[1] 0.200000
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Name: params, dtype: float64, 'loglikelihood': 88.6186616183254, 'aic': -169.2373232366508, 'bic': np.float64(-165.05923348575712)}, 2040: {'params': mu 0.032389
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alpha[1] 0.200000
beta[1] 0.500000
Name: params, dtype: float64, 'loglikelihood': 93.35896455556772, 'aic': -178.71792911113545, 'bic': np.float64(-174.53983936024176)}, 2045: {'params': mu 0.033087
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alpha[1] 0.200080
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Name: params, dtype: float64, 'loglikelihood': 94.21649483229855, 'aic': -180.4329896645971, 'bic': np.float64(-176.2548999137034)}, 2050: {'params': mu 0.033992
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alpha[1] 0.200001
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Name: params, dtype: float64, 'loglikelihood': 94.00589113322668, 'aic': -180.01178226645337, 'bic': np.float64(-175.83369251555968)}, 2055: {'params': mu 3.396296e-02
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alpha[1] 1.999999e-01
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Name: params, dtype: float64, 'loglikelihood': 96.78839743799585, 'aic': -185.5767948759917, 'bic': np.float64(-181.39870512509802)}, 2060: {'params': mu 0.033580
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alpha[1] 0.200001
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Name: params, dtype: float64, 'loglikelihood': 91.62096065457733, 'aic': -175.24192130915466, 'bic': np.float64(-171.06383155826097)}, 2065: {'params': mu 0.031829
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alpha[1] 0.200001
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Name: params, dtype: float64, 'loglikelihood': 86.33335156705355, 'aic': -164.6667031341071, 'bic': np.float64(-160.48861338321342)}, 2070: {'params': mu 0.030426
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Name: params, dtype: float64, 'loglikelihood': 83.09714147620295, 'aic': -158.1942829524059, 'bic': np.float64(-154.0161932015122)}, 2075: {'params': mu 0.030630
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Name: params, dtype: float64, 'loglikelihood': 76.490882959216, 'aic': -144.981765918432, 'bic': np.float64(-140.8036761675383)}, 2080: {'params': mu 0.035857
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Name: params, dtype: float64, 'loglikelihood': 75.49740317534742, 'aic': -142.99480635069483, 'bic': np.float64(-138.81671659980114)}, 2085: {'params': mu 0.039687
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alpha[1] 0.199999
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Name: params, dtype: float64, 'loglikelihood': 79.48344206271864, 'aic': -150.96688412543728, 'bic': np.float64(-146.78879437454358)}, 2090: {'params': mu 0.040212
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Name: params, dtype: float64, 'loglikelihood': 95.11076748173774, 'aic': -182.22153496347548, 'bic': np.float64(-178.0434452125818)}, 2095: {'params': mu 0.038759
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alpha[1] 0.010000
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Name: params, dtype: float64, 'loglikelihood': 80.31726926297716, 'aic': -152.63453852595433, 'bic': np.float64(-148.45644877506064)}, 2100: {'params': mu 0.036704
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Name: params, dtype: float64, 'loglikelihood': 72.19707059944356, 'aic': -136.39414119888713, 'bic': np.float64(-132.21605144799344)}, 2105: {'params': mu 0.032095
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Name: params, dtype: float64, 'loglikelihood': 76.80992737856315, 'aic': -145.6198547571263, 'bic': np.float64(-141.4417650062326)}, 2110: {'params': mu 0.029005
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Name: params, dtype: float64, 'loglikelihood': 83.92832373039994, 'aic': -159.85664746079988, 'bic': np.float64(-155.6785577099062)}, 2115: {'params': mu 0.029032
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Name: params, dtype: float64, 'loglikelihood': 89.16233574582853, 'aic': -170.32467149165706, 'bic': np.float64(-166.14658174076337)}, 2120: {'params': mu 2.947739e-02
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alpha[1] 9.999998e-03
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Name: params, dtype: float64, 'loglikelihood': 100.15083863978948, 'aic': -192.30167727957897, 'bic': np.float64(-188.12358752868528)}, 2125: {'params': mu 0.029573
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Name: params, dtype: float64, 'loglikelihood': 98.69206385590154, 'aic': -189.38412771180307, 'bic': np.float64(-185.20603796090938)}, 2130: {'params': mu 0.030621
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Name: params, dtype: float64, 'loglikelihood': 85.86950310687556, 'aic': -163.7390062137511, 'bic': np.float64(-159.56091646285742)}, 2135: {'params': mu 0.032322
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Name: params, dtype: float64, 'loglikelihood': 77.12380741061678, 'aic': -146.24761482123355, 'bic': np.float64(-142.06952507033986)}, 2140: {'params': mu 0.040998
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Name: params, dtype: float64, 'loglikelihood': 77.52039496811948, 'aic': -147.04078993623895, 'bic': np.float64(-142.86270018534526)}, 2145: {'params': mu 0.042035
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Name: params, dtype: float64, 'loglikelihood': 85.12513959785406, 'aic': -162.25027919570812, 'bic': np.float64(-158.07218944481443)}, 2150: {'params': mu 0.043444
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Name: params, dtype: float64, 'loglikelihood': 91.59889402870586, 'aic': -175.1977880574117, 'bic': np.float64(-171.01969830651802)}, 2155: {'params': mu 0.045215
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Name: params, dtype: float64, 'loglikelihood': 88.53691341642212, 'aic': -169.07382683284425, 'bic': np.float64(-164.89573708195056)}, 2160: {'params': mu 4.680251e-02
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Name: params, dtype: float64, 'loglikelihood': 90.41108614829321, 'aic': -172.82217229658642, 'bic': np.float64(-168.64408254569273)}, 2165: {'params': mu 0.046490
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Name: params, dtype: float64, 'loglikelihood': 91.92249430452853, 'aic': -175.84498860905705, 'bic': np.float64(-171.66689885816336)}, 2170: {'params': mu 0.045503
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Name: params, dtype: float64, 'loglikelihood': 87.99927671113585, 'aic': -167.9985534222717, 'bic': np.float64(-163.820463671378)}, 2175: {'params': mu 0.045517
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Name: params, dtype: float64, 'loglikelihood': 86.06687819873544, 'aic': -164.13375639747088, 'bic': np.float64(-159.95566664657719)}, 2180: {'params': mu 0.046597
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Name: params, dtype: float64, 'loglikelihood': 81.04781044724233, 'aic': -154.09562089448465, 'bic': np.float64(-149.91753114359096)}, 2185: {'params': mu 0.048563
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Name: params, dtype: float64, 'loglikelihood': 33.57198127204873, 'aic': -59.14396254409746, 'bic': np.float64(-59.36032194787621)}, 1660: {'params': mu 0.028624
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Name: params, dtype: float64, 'loglikelihood': 33.02022000643605, 'aic': -58.0404400128721, 'bic': np.float64(-58.25679941665084)}, 1665: {'params': mu 0.031074
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Name: params, dtype: float64, 'loglikelihood': 33.91553063929616, 'aic': -59.831061278592315, 'bic': np.float64(-60.04742068237106)}, 1670: {'params': mu 0.036452
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Name: params, dtype: float64, 'loglikelihood': 31.267626018037507, 'aic': -54.535252036075015, 'bic': np.float64(-54.75161143985376)}, 1675: {'params': mu 4.025663e-02
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alpha[1] 9.999997e-03
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Name: params, dtype: float64, 'loglikelihood': 35.6962378995331, 'aic': -63.392475799066204, 'bic': np.float64(-63.60883520284495)}, 1680: {'params': mu 0.041844
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Name: params, dtype: float64, 'loglikelihood': 31.10217647915814, 'aic': -54.20435295831628, 'bic': np.float64(-54.420712362095024)}, 1685: {'params': mu 0.033953
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Name: params, dtype: float64, 'loglikelihood': 31.104215937392645, 'aic': -54.20843187478529, 'bic': np.float64(-54.42479127856404)}, 1690: {'params': mu 0.030022
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Name: params, dtype: float64, 'loglikelihood': 34.76765749409288, 'aic': -61.53531498818576, 'bic': np.float64(-61.75167439196451)}, 1695: {'params': mu 0.036143
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Name: params, dtype: float64, 'loglikelihood': 21.790552922979195, 'aic': -35.58110584595839, 'bic': np.float64(-35.79746524973714)}, 1700: {'params': mu 0.061759
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Name: params, dtype: float64, 'loglikelihood': 28.240112023130127, 'aic': -48.480224046260254, 'bic': np.float64(-48.696583450039)}, 1705: {'params': mu 0.067562
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Name: params, dtype: float64, 'loglikelihood': 34.30184108254487, 'aic': -60.60368216508974, 'bic': np.float64(-60.82004156886848)}, 1710: {'params': mu 0.063187
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Name: params, dtype: float64, 'loglikelihood': 25.361629436908355, 'aic': -42.72325887381671, 'bic': np.float64(-42.93961827759546)}, 1715: {'params': mu 0.061172
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Name: params, dtype: float64, 'loglikelihood': 22.854844957337534, 'aic': -37.70968991467507, 'bic': np.float64(-37.92604931845381)}, 1720: {'params': mu 7.556801e-02
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alpha[1] 9.999999e-03
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Name: params, dtype: float64, 'loglikelihood': 38.13902561433182, 'aic': -68.27805122866364, 'bic': np.float64(-68.4944106324424)}, 1725: {'params': mu 7.076850e-02
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alpha[1] 7.272167e-01
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Name: params, dtype: float64, 'loglikelihood': 27.598002023912176, 'aic': -47.19600404782435, 'bic': np.float64(-47.4123634516031)}, 1730: {'params': mu 2.430058e-02
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Name: params, dtype: float64, 'loglikelihood': 21.70572167897537, 'aic': -35.41144335795074, 'bic': np.float64(-35.627802761729484)}, 1735: {'params': mu 0.026545
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Name: params, dtype: float64, 'loglikelihood': 34.006846578605675, 'aic': -60.01369315721135, 'bic': np.float64(-60.230052560990096)}, 1740: {'params': mu 0.032838
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Name: params, dtype: float64, 'loglikelihood': 27.98757879289147, 'aic': -47.97515758578294, 'bic': np.float64(-48.191516989561684)}, 1745: {'params': mu 0.035252
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Name: params, dtype: float64, 'loglikelihood': 35.432234991549365, 'aic': -62.86446998309873, 'bic': np.float64(-63.080829386877475)}, 1750: {'params': mu 0.036918
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Name: params, dtype: float64, 'loglikelihood': 33.49937499141632, 'aic': -58.998749982832635, 'bic': np.float64(-59.21510938661138)}, 1755: {'params': mu 0.039797
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Name: params, dtype: float64, 'loglikelihood': 26.994246454872844, 'aic': -45.98849290974569, 'bic': np.float64(-46.204852313524434)}, 1760: {'params': mu 0.049062
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Name: params, dtype: float64, 'loglikelihood': 27.64949432223362, 'aic': -47.29898864446724, 'bic': np.float64(-47.51534804824598)}, 1765: {'params': mu 0.056183
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Name: params, dtype: float64, 'loglikelihood': 32.276386029223524, 'aic': -56.55277205844705, 'bic': np.float64(-56.76913146222579)}, 1770: {'params': mu 0.047450
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Name: params, dtype: float64, 'loglikelihood': 25.41383979549708, 'aic': -42.82767959099416, 'bic': np.float64(-43.044038994772905)}, 1775: {'params': mu 0.032212
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Name: params, dtype: float64, 'loglikelihood': 23.026086157627567, 'aic': -38.052172315255135, 'bic': np.float64(-38.26853171903388)}, 1780: {'params': mu 0.020578
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alpha[1] 0.200000
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Name: params, dtype: float64, 'loglikelihood': 33.517796084827616, 'aic': -59.03559216965523, 'bic': np.float64(-59.25195157343398)}, 1785: {'params': mu 2.000676e-02
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alpha[1] 9.999996e-03
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Name: params, dtype: float64, 'loglikelihood': 34.47805616156781, 'aic': -60.95611232313561, 'bic': np.float64(-61.17247172691436)}, 1790: {'params': mu 1.981652e-02
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alpha[1] 9.999998e-03
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Name: params, dtype: float64, 'loglikelihood': 36.608636076344624, 'aic': -65.21727215268925, 'bic': np.float64(-65.433631556468)}, 1795: {'params': mu 2.219808e-02
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alpha[1] 2.000000e-01
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Name: params, dtype: float64, 'loglikelihood': 37.794225940360626, 'aic': -67.58845188072125, 'bic': np.float64(-67.8048112845)}, 1800: {'params': mu 0.028083
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alpha[1] 0.349589
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Name: params, dtype: float64, 'loglikelihood': 22.8168612075864, 'aic': -37.6337224151728, 'bic': np.float64(-37.850081818951544)}, 1805: {'params': mu 0.043149
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alpha[1] 0.200020
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Name: params, dtype: float64, 'loglikelihood': 33.16822793829394, 'aic': -58.33645587658788, 'bic': np.float64(-58.55281528036662)}, 1810: {'params': mu 3.958975e-02
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alpha[1] 1.000000e-02
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Name: params, dtype: float64, 'loglikelihood': 43.68929541209966, 'aic': -79.37859082419932, 'bic': np.float64(-79.59495022797807)}, 1815: {'params': mu 0.029894
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Name: params, dtype: float64, 'loglikelihood': 19.80358114962635, 'aic': -31.6071622992527, 'bic': np.float64(-31.823521703031446)}, 1820: {'params': mu 1.064664e-02
omega 2.099915e-07
alpha[1] 9.999999e-03
beta[1] 6.900000e-01
Name: params, dtype: float64, 'loglikelihood': 39.69279419330127, 'aic': -71.38558838660254, 'bic': np.float64(-71.60194779038129)}, 1825: {'params': mu 9.767563e-03
omega 1.790031e-07
alpha[1] 1.000000e-02
beta[1] 4.900000e-01
Name: params, dtype: float64, 'loglikelihood': 42.02419122021145, 'aic': -76.0483824404229, 'bic': np.float64(-76.26474184420165)}, 1830: {'params': mu 1.261853e-02
omega 5.907599e-07
alpha[1] 1.000000e-02
beta[1] 8.900000e-01
Name: params, dtype: float64, 'loglikelihood': 32.199889231420784, 'aic': -56.39977846284157, 'bic': np.float64(-56.61613786662031)}, 1835: {'params': mu 1.446904e-02
omega 7.881206e-08
alpha[1] 1.000000e-02
beta[1] 4.900000e-01
Name: params, dtype: float64, 'loglikelihood': 44.95054210367233, 'aic': -81.90108420734467, 'bic': np.float64(-82.11744361112342)}, 1840: {'params': mu 0.028030
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alpha[1] 0.199293
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Name: params, dtype: float64, 'loglikelihood': 24.255953815407064, 'aic': -40.51190763081413, 'bic': np.float64(-40.728267034592875)}, 1845: {'params': mu 3.313400e-02
omega 9.274489e-07
alpha[1] 9.999997e-03
beta[1] 4.900000e-01
Name: params, dtype: float64, 'loglikelihood': 36.24374267464919, 'aic': -64.48748534929838, 'bic': np.float64(-64.70384475307714)}, 1850: {'params': mu 0.032168
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alpha[1] 0.010000
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Name: params, dtype: float64, 'loglikelihood': 26.87962743000273, 'aic': -45.75925486000546, 'bic': np.float64(-45.97561426378421)}, 1855: {'params': mu 0.024799
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alpha[1] 0.200000
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Name: params, dtype: float64, 'loglikelihood': 27.512182789392078, 'aic': -47.024365578784156, 'bic': np.float64(-47.2407249825629)}, 1860: {'params': mu 0.022359
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alpha[1] 0.200000
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Name: params, dtype: float64, 'loglikelihood': 34.0245023194069, 'aic': -60.0490046388138, 'bic': np.float64(-60.265364042592545)}, 1865: {'params': mu 2.240933e-02
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alpha[1] 2.000000e-01
beta[1] 3.000000e-01
Name: params, dtype: float64, 'loglikelihood': 38.65760268588211, 'aic': -69.31520537176422, 'bic': np.float64(-69.53156477554298)}, 1870: {'params': mu 0.014451
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alpha[1] 0.199999
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Name: params, dtype: float64, 'loglikelihood': 27.03592370426596, 'aic': -46.07184740853192, 'bic': np.float64(-46.28820681231067)}, 1875: {'params': mu 0.014978
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alpha[1] 0.200000
beta[1] 0.300000
Name: params, dtype: float64, 'loglikelihood': 34.65089673766284, 'aic': -61.30179347532568, 'bic': np.float64(-61.51815287910443)}, 1880: {'params': mu 0.017985
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alpha[1] 0.010000
beta[1] 0.490000
Name: params, dtype: float64, 'loglikelihood': 34.28854048736938, 'aic': -60.57708097473876, 'bic': np.float64(-60.79344037851751)}, 1885: {'params': mu 0.031145
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alpha[1] 0.200030
beta[1] 0.299828
Name: params, dtype: float64, 'loglikelihood': 25.523522384020588, 'aic': -43.047044768041175, 'bic': np.float64(-43.26340417181992)}, 1890: {'params': mu 3.596457e-02
omega 5.795008e-07
alpha[1] 9.999999e-03
beta[1] 4.899999e-01
Name: params, dtype: float64, 'loglikelihood': 37.97221117577137, 'aic': -67.94442235154274, 'bic': np.float64(-68.1607817553215)}, 1895: {'params': mu 0.037370
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alpha[1] 0.010000
beta[1] 0.690000
Name: params, dtype: float64, 'loglikelihood': 32.44840042086056, 'aic': -56.89680084172112, 'bic': np.float64(-57.11316024549986)}, 1900: {'params': mu 0.038905
omega 0.000003
alpha[1] 0.199997
beta[1] 0.299995
Name: params, dtype: float64, 'loglikelihood': 31.968409500665256, 'aic': -55.93681900133051, 'bic': np.float64(-56.15317840510926)}, 1905: {'params': mu 0.048254
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alpha[1] 0.997457
beta[1] 0.002541
Name: params, dtype: float64, 'loglikelihood': 26.825592708534675, 'aic': -45.65118541706935, 'bic': np.float64(-45.867544820848096)}, 1910: {'params': mu 0.049610
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alpha[1] 0.010000
beta[1] 0.490000
Name: params, dtype: float64, 'loglikelihood': 32.93739065403651, 'aic': -57.874781308073025, 'bic': np.float64(-58.09114071185177)}, 1915: {'params': mu 0.044073
omega 0.000002
alpha[1] 0.010000
beta[1] 0.490000
Name: params, dtype: float64, 'loglikelihood': 33.183327201576624, 'aic': -58.36665440315325, 'bic': np.float64(-58.583013806931994)}, 1920: {'params': mu 0.038691
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alpha[1] 0.200000
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 29.086466628755613, 'aic': -50.172933257511225, 'bic': np.float64(-50.38929266128997)}, 1925: {'params': mu 0.038593
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alpha[1] 0.200404
beta[1] 0.300206
Name: params, dtype: float64, 'loglikelihood': 26.27426285990541, 'aic': -44.54852571981082, 'bic': np.float64(-44.764885123589565)}, 1930: {'params': mu 5.138987e-02
omega 1.153189e-05
alpha[1] 4.334716e-01
beta[1] 1.775091e-07
Name: params, dtype: float64, 'loglikelihood': 28.122303188739046, 'aic': -48.24460637747809, 'bic': np.float64(-48.46096578125684)}, 1935: {'params': mu 0.062177
omega 0.000010
alpha[1] 0.010001
beta[1] 0.690002
Name: params, dtype: float64, 'loglikelihood': 26.319422956727813, 'aic': -44.638845913455626, 'bic': np.float64(-44.85520531723437)}, 1940: {'params': mu 0.063959
omega 0.000009
alpha[1] 0.010000
beta[1] 0.490000
Name: params, dtype: float64, 'loglikelihood': 28.49019737233247, 'aic': -48.98039474466494, 'bic': np.float64(-49.19675414844369)}, 1945: {'params': mu 0.054065
omega 0.000007
alpha[1] 0.200000
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 29.162840535532514, 'aic': -50.32568107106503, 'bic': np.float64(-50.54204047484377)}, 1950: {'params': mu 0.028875
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alpha[1] 0.722899
beta[1] 0.031720
Name: params, dtype: float64, 'loglikelihood': 23.46094442425485, 'aic': -38.9218888485097, 'bic': np.float64(-39.13824825228845)}, 1955: {'params': mu 0.016203
omega 0.000045
alpha[1] 0.199995
beta[1] 0.299989
Name: params, dtype: float64, 'loglikelihood': 22.708013850445766, 'aic': -37.41602770089153, 'bic': np.float64(-37.63238710467028)}, 1960: {'params': mu 9.512420e-03
omega 2.384234e-07
alpha[1] 2.000000e-01
beta[1] 3.000000e-01
Name: params, dtype: float64, 'loglikelihood': 41.07595245911223, 'aic': -74.15190491822446, 'bic': np.float64(-74.36826432200321)}, 1965: {'params': mu 8.150026e-03
omega 1.094763e-07
alpha[1] 1.000000e-02
beta[1] 4.900000e-01
Name: params, dtype: float64, 'loglikelihood': 43.7227702358493, 'aic': -79.4455404716986, 'bic': np.float64(-79.66189987547736)}, 1970: {'params': mu 0.011353
omega 0.000005
alpha[1] 0.473993
beta[1] 0.306717
Name: params, dtype: float64, 'loglikelihood': 28.520664712351362, 'aic': -49.041329424702724, 'bic': np.float64(-49.25768882848147)}, 1975: {'params': mu 0.021058
omega 0.000006
alpha[1] 0.199995
beta[1] 0.299988
Name: params, dtype: float64, 'loglikelihood': 29.531245551431986, 'aic': -51.06249110286397, 'bic': np.float64(-51.27885050664272)}, 1980: {'params': mu 2.380488e-02
omega 6.651907e-09
alpha[1] 1.000000e-02
beta[1] 6.900000e-01
Name: params, dtype: float64, 'loglikelihood': 51.76380208514705, 'aic': -95.5276041702941, 'bic': np.float64(-95.74396357407285)}, 1985: {'params': mu 0.020013
omega 0.000004
alpha[1] 0.200000
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 30.865835211106827, 'aic': -53.731670422213654, 'bic': np.float64(-53.9480298259924)}, 1990: {'params': mu 0.013701
omega 0.000003
alpha[1] 0.200000
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 32.465530420676615, 'aic': -56.93106084135323, 'bic': np.float64(-57.147420245131975)}, 1995: {'params': mu 0.016040
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alpha[1] 0.200000
beta[1] 0.300000
Name: params, dtype: float64, 'loglikelihood': 33.45918179529228, 'aic': -58.91836359058456, 'bic': np.float64(-59.13472299436331)}, 2000: {'params': mu 0.020083
omega 0.000001
alpha[1] 0.200000
beta[1] 0.300000
Name: params, dtype: float64, 'loglikelihood': 35.92405155431254, 'aic': -63.84810310862508, 'bic': np.float64(-64.06446251240384)}, 2005: {'params': mu 1.945561e-02
omega 6.157482e-07
alpha[1] 2.000000e-01
beta[1] 3.000000e-01
Name: params, dtype: float64, 'loglikelihood': 37.69571730190148, 'aic': -67.39143460380296, 'bic': np.float64(-67.60779400758172)}, 2010: {'params': mu 0.024358
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alpha[1] 0.010001
beta[1] 0.690002
Name: params, dtype: float64, 'loglikelihood': 25.593088481712208, 'aic': -43.186176963424415, 'bic': np.float64(-43.40253636720316)}, 2015: {'params': mu 3.163814e-02
omega 8.700092e-08
alpha[1] 9.999999e-03
beta[1] 6.900000e-01
Name: params, dtype: float64, 'loglikelihood': 42.744682095014475, 'aic': -77.48936419002895, 'bic': np.float64(-77.7057235938077)}, 2020: {'params': mu 3.229332e-02
omega 1.621262e-07
alpha[1] 9.999999e-03
beta[1] 6.899999e-01
Name: params, dtype: float64, 'loglikelihood': 40.596306155698464, 'aic': -73.19261231139693, 'bic': np.float64(-73.40897171517568)}, 2025: {'params': mu 0.023155
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alpha[1] 0.199997
beta[1] 0.299994
Name: params, dtype: float64, 'loglikelihood': 24.39621055964414, 'aic': -40.79242111928828, 'bic': np.float64(-41.008780523067024)}, 2030: {'params': mu 0.022688
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alpha[1] 0.200000
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 34.442541948452835, 'aic': -60.88508389690567, 'bic': np.float64(-61.101443300684416)}, 2035: {'params': mu 0.024676
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alpha[1] 0.269643
beta[1] 0.273884
Name: params, dtype: float64, 'loglikelihood': 31.605311714102136, 'aic': -55.21062342820427, 'bic': np.float64(-55.42698283198302)}, 2040: {'params': mu 0.033283
omega 0.000003
alpha[1] 0.200000
beta[1] 0.299999
Name: params, dtype: float64, 'loglikelihood': 32.743953107523566, 'aic': -57.48790621504713, 'bic': np.float64(-57.70426561882588)}, 2045: {'params': mu 3.260538e-02
omega 5.323252e-07
alpha[1] 9.999998e-03
beta[1] 6.899998e-01
Name: params, dtype: float64, 'loglikelihood': 36.40075836804193, 'aic': -64.80151673608385, 'bic': np.float64(-65.01787613986261)}, 2050: {'params': mu 0.030313
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alpha[1] 0.010000
beta[1] 0.690000
Name: params, dtype: float64, 'loglikelihood': 30.767547570276477, 'aic': -53.535095140552954, 'bic': np.float64(-53.7514545443317)}, 2055: {'params': mu 0.032757
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alpha[1] 0.010000
beta[1] 0.689998
Name: params, dtype: float64, 'loglikelihood': 27.770773945744825, 'aic': -47.54154789148965, 'bic': np.float64(-47.757907295268396)}, 2060: {'params': mu 3.457620e-02
omega 1.916297e-07
alpha[1] 9.999999e-03
beta[1] 6.900000e-01
Name: params, dtype: float64, 'loglikelihood': 40.002394549668665, 'aic': -72.00478909933733, 'bic': np.float64(-72.22114850311608)}, 2065: {'params': mu 3.492217e-02
omega 4.120576e-07
alpha[1] 9.999998e-03
beta[1] 6.900001e-01
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0.08491093, 0.08672815, 0.08854536, 0.09036257, 0.09217979,
0.093997 , 0.09581421, 0.09763143, 0.09944864, 0.10126586,
0.10308307, 0.10490028, 0.1067175 ]), 4845: array([8.13252549e-09, 1.56630156e-08, 2.31934987e-08, 3.07239746e-08,
3.82544435e-08, 4.57849054e-08, 5.33153601e-08, 6.08458078e-08,
6.83762484e-08, 7.59066819e-08, 8.34371083e-08, 9.09675277e-08,
9.84979400e-08, 1.06028345e-07, 1.13558743e-07, 1.21089134e-07,
1.28619518e-07, 1.36149895e-07, 1.43680265e-07, 1.51210628e-07,
1.58740984e-07, 1.66271332e-07, 1.73801674e-07, 1.81332008e-07,
1.88862336e-07, 1.96392656e-07, 2.03922969e-07, 2.11453275e-07]), 4850: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
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0.06801624, 0.06972422, 0.0714322 , 0.07314018, 0.07484816,
0.07655615, 0.07826413, 0.07997211, 0.08168009, 0.08338807,
0.08509605, 0.08680404, 0.08851202, 0.09022 , 0.09192798,
0.09363596, 0.09534394, 0.09705193, 0.09875991, 0.10046789,
0.10217587, 0.10388385, 0.10559184]), 4860: array([0.05852056, 0.05853446, 0.05854145, 0.05854495, 0.05854671,
0.0585476 , 0.05854804, 0.05854826, 0.05854837, 0.05854843,
0.05854846, 0.05854847, 0.05854848, 0.05854848, 0.05854848,
0.05854849, 0.05854849, 0.05854849, 0.05854849, 0.05854849,
0.05854849, 0.05854849, 0.05854849, 0.05854849, 0.05854849,
0.05854849, 0.05854849, 0.05854849]), 4865: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4870: array([0.04870127, 0.03901359, 0.03397617, 0.03135681, 0.02999479,
0.02928656, 0.0289183 , 0.02872681, 0.02862724, 0.02857546,
0.02854854, 0.02853454, 0.02852726, 0.02852348, 0.02852151,
0.02852048, 0.02851995, 0.02851967, 0.02851953, 0.02851946,
0.02851942, 0.0285194 , 0.02851939, 0.02851938, 0.02851938,
0.02851938, 0.02851938, 0.02851938]), 4875: array([0.04469815, 0.05040408, 0.05573498, 0.06071548, 0.06536862,
0.06971592, 0.07377747, 0.07757207, 0.08111725, 0.08442942,
0.08752388, 0.09041494, 0.09311598, 0.09563949, 0.09799713,
0.1001998 , 0.1022577 , 0.10418033, 0.10597659, 0.10765479,
0.10922268, 0.11068752, 0.11205607, 0.11333467, 0.11452923,
0.11564528, 0.11668797, 0.11766212]), 4880: array([0.13854111, 0.14527326, 0.15200542, 0.15873757, 0.16546972,
0.17220188, 0.17893403, 0.18566619, 0.19239834, 0.1991305 ,
0.20586265, 0.21259481, 0.21932696, 0.22605911, 0.23279127,
0.23952342, 0.24625558, 0.25298773, 0.25971989, 0.26645204,
0.2731842 , 0.27991635, 0.28664851, 0.29338066, 0.30011281,
0.30684497, 0.31357712, 0.32030928]), 4885: array([0.0246707 , 0.02261553, 0.02073156, 0.01900454, 0.01742138,
0.01597011, 0.01463973, 0.01342018, 0.01230223, 0.0112774 ,
0.01033795, 0.00947675, 0.0086873 , 0.00796361, 0.00730021,
0.00669207, 0.0061346 , 0.00562356, 0.00515509, 0.00472565,
0.00433199, 0.00397112, 0.00364031, 0.00333705, 0.00305906,
0.00280423, 0.00257063, 0.00235648]), 4890: array([1.97215226e-31, 1.97215226e-31, 1.97215226e-31, 1.97215226e-31,
1.97215226e-31, 1.97215226e-31, 1.97215226e-31, 1.97215226e-31,
1.97215226e-31, 1.97215226e-31, 1.97215226e-31, 1.97215226e-31,
1.97215226e-31, 1.97215226e-31, 1.97215226e-31, 1.97215226e-31,
1.97215226e-31, 1.97215226e-31, 1.97215226e-31, 1.97215226e-31,
1.97215226e-31, 1.97215226e-31, 1.97215226e-31, 1.97215226e-31,
1.97215226e-31, 1.97215226e-31, 1.97215226e-31, 1.97215226e-31]), 4895: array([4.77060666e-06, 9.20563994e-06, 1.34400165e-05, 1.74828146e-05,
2.13427022e-05, 2.50279546e-05, 2.85464731e-05, 3.19058012e-05,
3.51131413e-05, 3.81753698e-05, 4.10990522e-05, 4.38904568e-05,
4.65555682e-05, 4.91001005e-05, 5.15295090e-05, 5.38490024e-05,
5.60635537e-05, 5.81779107e-05, 6.01966066e-05, 6.21239696e-05,
6.39641317e-05, 6.57210384e-05, 6.73984563e-05, 6.89999818e-05,
7.05290486e-05, 7.19889349e-05, 7.33827707e-05, 7.47135445e-05]), 4900: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4905: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4910: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4915: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4920: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4925: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4930: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4935: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4940: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
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0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 4950: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
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Resultados Modelo At: {14: {0: {'params': mu 1.939389e-02
omega 4.297223e-04
alpha[1] 1.151622e-12
beta[1] 8.304673e-01
Name: params, dtype: float64, 'loglikelihood': 21.353074803407978, 'aic': -34.706149606815956, 'bic': np.float64(-32.14992028835492)}, 5: {'params': mu 3.435859e-02
omega 2.313157e-05
alpha[1] 5.585189e-07
beta[1] 1.000000e+00
Name: params, dtype: float64, 'loglikelihood': 26.103922653105485, 'aic': -44.20784530621097, 'bic': np.float64(-41.651615987749935)}, 10: {'params': mu 6.495929e-03
omega 6.545052e-04
alpha[1] 9.022590e-01
beta[1] 8.860288e-10
Name: params, dtype: float64, 'loglikelihood': 22.585288302097126, 'aic': -37.17057660419425, 'bic': np.float64(-34.61434728573322)}, 15: {'params': mu -4.448513e-02
omega 2.291167e-03
alpha[1] 7.564317e-01
beta[1] 8.445782e-11
Name: params, dtype: float64, 'loglikelihood': 17.31019575325734, 'aic': -26.62039150651468, 'bic': np.float64(-24.064162188053643)}, 20: {'params': mu -0.212108
omega 0.002245
alpha[1] 0.480477
beta[1] 0.194586
Name: params, dtype: float64, 'loglikelihood': 16.427440910478175, 'aic': -24.85488182095635, 'bic': np.float64(-22.298652502495315)}, 25: {'params': mu -0.228166
omega 0.000070
alpha[1] 0.179974
beta[1] 0.629910
Name: params, dtype: float64, 'loglikelihood': 34.2901704823264, 'aic': -60.580340964652805, 'bic': np.float64(-58.02411164619177)}, 30: {'params': mu -0.234759
omega 0.000218
alpha[1] 1.000000
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': 32.24933827495242, 'aic': -56.49867654990484, 'bic': np.float64(-53.94244723144381)}, 35: {'params': mu -0.279143
omega 0.000275
alpha[1] 0.999985
beta[1] 0.000006
Name: params, dtype: float64, 'loglikelihood': 20.088155651581065, 'aic': -32.17631130316213, 'bic': np.float64(-29.620081984701095)}, 40: {'params': mu -0.418333
omega 0.000017
alpha[1] 0.999979
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': 32.19782820013482, 'aic': -56.395656400269644, 'bic': np.float64(-53.83942708180861)}, 45: {'params': mu -0.417633
omega 0.000203
alpha[1] 0.352035
beta[1] 0.242994
Name: params, dtype: float64, 'loglikelihood': 34.610031947489915, 'aic': -61.22006389497983, 'bic': np.float64(-58.663834576518795)}, 50: {'params': mu -0.437904
omega 0.000509
alpha[1] 0.433124
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': 29.584042093548128, 'aic': -51.168084187096255, 'bic': np.float64(-48.61185486863522)}, 55: {'params': mu -4.463510e-01
omega 3.907497e-04
alpha[1] 4.932329e-01
beta[1] 4.907879e-09
Name: params, dtype: float64, 'loglikelihood': 31.29199926794676, 'aic': -54.58399853589352, 'bic': np.float64(-52.027769217432486)}, 60: {'params': mu -4.405591e-01
omega 5.541315e-04
alpha[1] 1.000000e+00
beta[1] 1.854403e-15
Name: params, dtype: float64, 'loglikelihood': 25.1710001588697, 'aic': -42.3420003177394, 'bic': np.float64(-39.78577099927836)}, 65: {'params': mu -3.808367e-01
omega 1.158930e-07
alpha[1] 9.985878e-01
beta[1] 4.752648e-06
Name: params, dtype: float64, 'loglikelihood': 28.00732234108523, 'aic': -48.01464468217046, 'bic': np.float64(-45.45841536370943)}, 70: {'params': mu -0.385750
omega 0.000247
alpha[1] 1.000000
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': 29.07700227956802, 'aic': -50.15400455913604, 'bic': np.float64(-47.597775240675006)}, 75: {'params': mu -3.957928e-01
omega 7.835719e-12
alpha[1] 1.856556e-08
beta[1] 9.345388e-01
Name: params, dtype: float64, 'loglikelihood': 30.845285065632446, 'aic': -53.69057013126489, 'bic': np.float64(-51.134340812803856)}, 80: {'params': mu -0.393723
omega 0.000030
alpha[1] 0.314787
beta[1] 0.546172
Name: params, dtype: float64, 'loglikelihood': 35.75756946578289, 'aic': -63.51513893156579, 'bic': np.float64(-60.95890961310475)}, 85: {'params': mu -4.032592e-01
omega 7.024467e-06
alpha[1] 5.906206e-14
beta[1] 1.000000e+00
Name: params, dtype: float64, 'loglikelihood': 36.7358501404577, 'aic': -65.4717002809154, 'bic': np.float64(-62.915470962454364)}, 90: {'params': mu -0.410177
omega 0.000357
alpha[1] 0.169588
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': 34.542909997750655, 'aic': -61.08581999550131, 'bic': np.float64(-58.529590677040275)}, 95: {'params': mu -0.414888
omega 0.000093
alpha[1] 0.505419
beta[1] 0.427936
Name: params, dtype: float64, 'loglikelihood': 33.29912955870915, 'aic': -58.598259117418294, 'bic': np.float64(-56.04202979895726)}, 100: {'params': mu -0.386773
omega 0.000319
alpha[1] 1.000000
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': 26.76701016064422, 'aic': -45.53402032128844, 'bic': np.float64(-42.9777910028274)}, 105: {'params': mu -0.526238
omega 0.000036
alpha[1] 0.999992
beta[1] 0.000007
Name: params, dtype: float64, 'loglikelihood': 23.353781134072864, 'aic': -38.70756226814573, 'bic': np.float64(-36.151332949684694)}, 110: {'params': mu -0.524758
omega 0.000264
alpha[1] 1.000000
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Name: params, dtype: float64, 'loglikelihood': 30.09737001006013, 'aic': -52.19474002012026, 'bic': np.float64(-49.63851070165922)}, 115: {'params': mu -0.537742
omega 0.000006
alpha[1] 0.000000
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Name: params, dtype: float64, 'loglikelihood': 37.99332391734782, 'aic': -67.98664783469565, 'bic': np.float64(-65.43041851623461)}, 120: {'params': mu -0.544663
omega 0.000165
alpha[1] 0.010000
beta[1] 0.490002
Name: params, dtype: float64, 'loglikelihood': 36.23823064552575, 'aic': -64.4764612910515, 'bic': np.float64(-61.92023197259047)}, 125: {'params': mu -0.552657
omega 0.000013
alpha[1] 0.000000
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Name: params, dtype: float64, 'loglikelihood': 34.06633654158521, 'aic': -60.13267308317042, 'bic': np.float64(-57.57644376470938)}, 130: {'params': mu -0.591579
omega 0.000044
alpha[1] 0.923483
beta[1] 0.076596
Name: params, dtype: float64, 'loglikelihood': 34.366139344075464, 'aic': -60.73227868815093, 'bic': np.float64(-58.17604936968989)}, 135: {'params': mu -5.920250e-01
omega 4.425580e-05
alpha[1] 1.000000e+00
beta[1] 2.620126e-19
Name: params, dtype: float64, 'loglikelihood': 39.01583818741657, 'aic': -70.03167637483314, 'bic': np.float64(-67.4754470563721)}, 140: {'params': mu -0.606722
omega 0.000145
alpha[1] 1.000000
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Name: params, dtype: float64, 'loglikelihood': 32.39558535704531, 'aic': -56.791170714090626, 'bic': np.float64(-54.23494139562959)}, 145: {'params': mu -0.613433
omega 0.000667
alpha[1] 0.999666
beta[1] 0.000133
Name: params, dtype: float64, 'loglikelihood': 19.41009281404783, 'aic': -30.820185628095658, 'bic': np.float64(-28.263956309634622)}, 150: {'params': mu -0.802755
omega 0.000279
alpha[1] 1.000000
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Name: params, dtype: float64, 'loglikelihood': 20.361122490991633, 'aic': -32.722244981983266, 'bic': np.float64(-30.16601566352223)}, 155: {'params': mu -8.107261e-01
omega 4.661912e-07
alpha[1] 9.882352e-01
beta[1] 3.160784e-03
Name: params, dtype: float64, 'loglikelihood': 33.436072324298294, 'aic': -58.87214464859659, 'bic': np.float64(-56.31591533013555)}, 160: {'params': mu -0.825289
omega 0.000086
alpha[1] 0.381143
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Name: params, dtype: float64, 'loglikelihood': 39.20151475330559, 'aic': -70.40302950661118, 'bic': np.float64(-67.84680018815014)}, 165: {'params': mu -0.821370
omega 0.000052
alpha[1] 0.934972
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Name: params, dtype: float64, 'loglikelihood': 39.632077655262975, 'aic': -71.26415531052595, 'bic': np.float64(-68.70792599206492)}, 170: {'params': mu -0.846097
omega 0.000213
alpha[1] 0.010000
beta[1] 0.489997
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omega 0.000071
alpha[1] 0.010000
beta[1] 0.490002
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omega 0.000080
alpha[1] 0.200018
beta[1] 0.299993
Name: params, dtype: float64, 'loglikelihood': 41.531339661930865, 'aic': -75.06267932386173, 'bic': np.float64(-72.5064500054007)}, 185: {'params': mu -8.613977e-01
omega 2.102817e-05
alpha[1] 1.000000e+00
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Name: params, dtype: float64, 'loglikelihood': 36.7469143227383, 'aic': -65.4938286454766, 'bic': np.float64(-62.93759932701556)}, 190: {'params': mu -0.883385
omega 0.000018
alpha[1] 0.199888
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Name: params, dtype: float64, 'loglikelihood': 41.61812154627766, 'aic': -75.23624309255533, 'bic': np.float64(-72.68001377409429)}, 195: {'params': mu -0.878551
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alpha[1] 0.445282
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omega 0.000051
alpha[1] 0.994425
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omega 0.000178
alpha[1] 0.998706
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omega 0.000144
alpha[1] 1.000000
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Name: params, dtype: float64, 'loglikelihood': 27.37652961410159, 'aic': -46.75305922820318, 'bic': np.float64(-44.19682990974214)}, 215: {'params': mu -0.749355
omega 0.000112
alpha[1] 1.000000
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Name: params, dtype: float64, 'loglikelihood': 31.010318500460855, 'aic': -54.02063700092171, 'bic': np.float64(-51.464407682460674)}, 220: {'params': mu -0.753853
omega 0.000036
alpha[1] 0.010000
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omega 0.000028
alpha[1] 0.010000
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Name: params, dtype: float64, 'loglikelihood': 48.67627426706623, 'aic': -89.35254853413247, 'bic': np.float64(-86.79631921567143)}, 230: {'params': mu -0.754495
omega 0.000009
alpha[1] 0.010000
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Name: params, dtype: float64, 'loglikelihood': 53.31066353445949, 'aic': -98.62132706891899, 'bic': np.float64(-96.06509775045795)}, 235: {'params': mu -7.489702e-01
omega 2.518489e-05
alpha[1] 1.000000e+00
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omega 0.000100
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omega 0.000067
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omega 0.000242
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Name: params, dtype: float64, 'loglikelihood': 30.43050924690295, 'aic': -52.8610184938059, 'bic': np.float64(-50.304789175344865)}, 1905: {'params': mu -1.609781e+00
omega 4.271239e-05
alpha[1] 3.640937e-13
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Name: params, dtype: float64, 'loglikelihood': 29.504306227014176, 'aic': -51.00861245402835, 'bic': np.float64(-48.45238313556732)}, 1910: {'params': mu -1.606747
omega 0.000046
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Name: params, dtype: float64, 'loglikelihood': 25.230181879137078, 'aic': -42.460363758274156, 'bic': np.float64(-39.90413443981312)}, 1915: {'params': mu -1.643028e+00
omega 7.740504e-05
alpha[1] 8.279489e-11
beta[1] 9.999998e-01
Name: params, dtype: float64, 'loglikelihood': 16.018969390752016, 'aic': -24.03793878150403, 'bic': np.float64(-21.481709463042996)}, 1920: {'params': mu -1.692883e+00
omega 3.370565e-11
alpha[1] 3.530509e-02
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Name: params, dtype: float64, 'loglikelihood': 23.60904787510242, 'aic': -39.21809575020484, 'bic': np.float64(-36.6618664317438)}, 1925: {'params': mu -1.693295
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Name: params, dtype: float64, 'loglikelihood': 20.19245863246024, 'aic': -32.38491726492048, 'bic': np.float64(-29.828687946459446)}, 1930: {'params': mu -1.528340
omega 0.001736
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Name: params, dtype: float64, 'loglikelihood': 15.584194247885769, 'aic': -23.168388495771538, 'bic': np.float64(-20.612159177310502)}, 1935: {'params': mu -1.513618
omega 0.002117
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Name: params, dtype: float64, 'loglikelihood': 21.698549781660375, 'aic': -35.39709956332075, 'bic': np.float64(-32.840870244859715)}, 1940: {'params': mu -1.498292e+00
omega 1.959435e-03
alpha[1] 1.000000e+00
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Name: params, dtype: float64, 'loglikelihood': 12.566551716727933, 'aic': -17.133103433455865, 'bic': np.float64(-14.576874114994832)}, 1945: {'params': mu -1.166124e+00
omega 1.033924e-03
alpha[1] 9.999997e-01
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Name: params, dtype: float64, 'loglikelihood': 7.5371230738561055, 'aic': -7.074246147712211, 'bic': np.float64(-4.518016829251177)}, 1950: {'params': mu -1.021528e+00
omega 1.930395e-05
alpha[1] 1.000000e+00
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Name: params, dtype: float64, 'loglikelihood': 22.44161881024811, 'aic': -36.88323762049622, 'bic': np.float64(-34.32700830203518)}, 1955: {'params': mu -1.019799
omega 0.000137
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Name: params, dtype: float64, 'loglikelihood': 35.6018856889917, 'aic': -63.2037713779834, 'bic': np.float64(-60.647542059522365)}, 1960: {'params': mu -1.021220
omega 0.000050
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Name: params, dtype: float64, 'loglikelihood': 44.55852502767521, 'aic': -81.11705005535042, 'bic': np.float64(-78.56082073688938)}, 1965: {'params': mu -1.019111e+00
omega 4.502570e-05
alpha[1] 6.807547e-01
beta[1] 1.779749e-15
Name: params, dtype: float64, 'loglikelihood': 44.19690250185341, 'aic': -80.39380500370682, 'bic': np.float64(-77.83757568524578)}, 1970: {'params': mu -1.006933
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Name: params, dtype: float64, 'loglikelihood': 43.233026771774774, 'aic': -78.46605354354955, 'bic': np.float64(-75.90982422508851)}, 1975: {'params': mu -1.005321e+00
omega 2.672841e-05
alpha[1] 1.000000e+00
beta[1] 2.378043e-14
Name: params, dtype: float64, 'loglikelihood': 42.54959296633039, 'aic': -77.09918593266077, 'bic': np.float64(-74.54295661419974)}, 1980: {'params': mu -0.998503
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Name: params, dtype: float64, 'loglikelihood': 34.32790041034006, 'aic': -60.65580082068011, 'bic': np.float64(-58.09957150221908)}, 1985: {'params': mu -0.995035
omega 0.000074
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Name: params, dtype: float64, 'loglikelihood': 34.98539210131676, 'aic': -61.970784202633524, 'bic': np.float64(-59.41455488417249)}, 1990: {'params': mu -0.993519
omega 0.000081
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Name: params, dtype: float64, 'loglikelihood': 39.03132458088958, 'aic': -70.06264916177916, 'bic': np.float64(-67.50641984331813)}, 1995: {'params': mu -0.992272
omega 0.000031
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Name: params, dtype: float64, 'loglikelihood': 44.02861058284174, 'aic': -80.05722116568349, 'bic': np.float64(-77.50099184722245)}, 2000: {'params': mu -0.987921
omega 0.000045
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Name: params, dtype: float64, 'loglikelihood': 37.99462381959246, 'aic': -67.98924763918492, 'bic': np.float64(-65.43301832072389)}, 2005: {'params': mu -1.005529
omega 0.000001
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Name: params, dtype: float64, 'loglikelihood': 36.937784621915085, 'aic': -65.87556924383017, 'bic': np.float64(-63.319339925369135)}, 2010: {'params': mu -1.020868e+00
omega 8.800550e-05
alpha[1] 3.633694e-07
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Name: params, dtype: float64, 'loglikelihood': 33.7799961071493, 'aic': -59.5599922142986, 'bic': np.float64(-57.00376289583757)}, 2015: {'params': mu -1.034677
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Name: params, dtype: float64, 'loglikelihood': 27.497696564333612, 'aic': -46.995393128667224, 'bic': np.float64(-44.43916381020619)}, 2020: {'params': mu -0.922901
omega 0.001283
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Name: params, dtype: float64, 'loglikelihood': 19.423327189560737, 'aic': -30.846654379121475, 'bic': np.float64(-28.29042506066044)}, 2025: {'params': mu -9.200534e-01
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alpha[1] 9.999999e-01
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Name: params, dtype: float64, 'loglikelihood': 29.096754475377587, 'aic': -50.193508950755174, 'bic': np.float64(-47.63727963229414)}, 2030: {'params': mu -0.949498
omega 0.000281
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Name: params, dtype: float64, 'loglikelihood': 25.69402257941053, 'aic': -43.38804515882106, 'bic': np.float64(-40.83181584036002)}, 2035: {'params': mu -1.004033e+00
omega 3.031780e-04
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Name: params, dtype: float64, 'loglikelihood': 29.99068849412405, 'aic': -51.9813769882481, 'bic': np.float64(-49.425147669787066)}, 2040: {'params': mu -1.017201e+00
omega 1.170447e-05
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Name: params, dtype: float64, 'loglikelihood': 35.086710694069566, 'aic': -62.17342138813913, 'bic': np.float64(-59.6171920696781)}, 2045: {'params': mu -1.018884
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Name: params, dtype: float64, 'loglikelihood': 25.090281086329068, 'aic': -42.180562172658135, 'bic': np.float64(-39.6243328541971)}, 2050: {'params': mu -9.012658e-01
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Name: params, dtype: float64, 'loglikelihood': 15.96830833114339, 'aic': -23.93661666228678, 'bic': np.float64(-21.380387343825745)}, 2055: {'params': mu -0.766642
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Name: params, dtype: float64, 'loglikelihood': 20.47487435099669, 'aic': -32.94974870199338, 'bic': np.float64(-30.393519383532343)}, 2060: {'params': mu -0.791610
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Name: params, dtype: float64, 'loglikelihood': 24.004230180048015, 'aic': -40.00846036009603, 'bic': np.float64(-37.452231041634995)}, 2065: {'params': mu -8.362887e-01
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Name: params, dtype: float64, 'loglikelihood': 19.223127556741073, 'aic': -30.446255113482145, 'bic': np.float64(-27.89002579502111)}, 2070: {'params': mu -8.626943e-01
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Name: params, dtype: float64, 'loglikelihood': 17.404990055674585, 'aic': -26.80998011134917, 'bic': np.float64(-24.253750792888134)}, 2075: {'params': mu -9.535648e-01
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Name: params, dtype: float64, 'loglikelihood': 24.990332429167648, 'aic': -41.980664858335295, 'bic': np.float64(-39.42443553987426)}, 2080: {'params': mu -0.963038
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Name: params, dtype: float64, 'loglikelihood': 32.29170284709199, 'aic': -56.58340569418398, 'bic': np.float64(-54.027176375722945)}, 2085: {'params': mu -9.617966e-01
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Name: params, dtype: float64, 'loglikelihood': 28.22337203734381, 'aic': -48.44674407468762, 'bic': np.float64(-45.89051475622659)}, 2090: {'params': mu -1.001084
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Name: params, dtype: float64, 'loglikelihood': 25.24792114377395, 'aic': -42.4958422875479, 'bic': np.float64(-39.939612969086866)}, 2095: {'params': mu -1.000062
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Name: params, dtype: float64, 'loglikelihood': 34.49572283687766, 'aic': -60.99144567375532, 'bic': np.float64(-58.43521635529429)}, 2120: {'params': mu -8.014688e-01
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Name: params, dtype: float64, 'loglikelihood': 27.357734959993167, 'aic': -46.71546991998633, 'bic': np.float64(-44.1592406015253)}, 2125: {'params': mu -7.554355e-01
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Name: params, dtype: float64, 'loglikelihood': 48.40039834182072, 'aic': -88.80079668364144, 'bic': np.float64(-83.47197864294063)}, 1855: {'params': mu -1.684473e+00
omega 4.150214e-05
alpha[1] 1.000000e+00
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Name: params, dtype: float64, 'loglikelihood': 53.285667418394034, 'aic': -98.57133483678807, 'bic': np.float64(-93.24251679608726)}, 1860: {'params': mu -1.687504e+00
omega 3.026385e-06
alpha[1] 7.787054e-01
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Name: params, dtype: float64, 'loglikelihood': 68.1450918172235, 'aic': -128.290183634447, 'bic': np.float64(-122.9613655937462)}, 1865: {'params': mu -1.690345
omega 0.000203
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Name: params, dtype: float64, 'loglikelihood': 65.9257246532949, 'aic': -123.85144930658981, 'bic': np.float64(-118.522631265889)}, 1870: {'params': mu -1.686793
omega 0.000100
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Name: params, dtype: float64, 'loglikelihood': 68.09556495146035, 'aic': -128.1911299029207, 'bic': np.float64(-122.86231186221988)}, 1875: {'params': mu -1.689301e+00
omega 7.239615e-04
alpha[1] 6.933108e-01
beta[1] 6.165477e-18
Name: params, dtype: float64, 'loglikelihood': 54.80818590826938, 'aic': -101.61637181653876, 'bic': np.float64(-96.28755377583795)}, 1880: {'params': mu -1.678056e+00
omega 8.348885e-04
alpha[1] 6.410869e-01
beta[1] 2.577257e-07
Name: params, dtype: float64, 'loglikelihood': 50.44351559494241, 'aic': -92.88703118988482, 'bic': np.float64(-87.55821314918401)}, 1885: {'params': mu -1.649452e+00
omega 1.326452e-03
alpha[1] 3.018840e-01
beta[1] 2.276620e-12
Name: params, dtype: float64, 'loglikelihood': 48.51761716639986, 'aic': -89.03523433279972, 'bic': np.float64(-83.70641629209891)}, 1890: {'params': mu -1.619453
omega 0.000383
alpha[1] 0.356897
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Name: params, dtype: float64, 'loglikelihood': 48.95641052844748, 'aic': -89.91282105689496, 'bic': np.float64(-84.58400301619415)}, 1895: {'params': mu -1.610954
omega 0.000362
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Name: params, dtype: float64, 'loglikelihood': 49.75074260332391, 'aic': -91.50148520664781, 'bic': np.float64(-86.172667165947)}, 1900: {'params': mu -1.606780
omega 0.000338
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Name: params, dtype: float64, 'loglikelihood': 45.35452077855323, 'aic': -82.70904155710646, 'bic': np.float64(-77.38022351640565)}, 1905: {'params': mu -1.621998
omega 0.001342
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Name: params, dtype: float64, 'loglikelihood': 41.480637274838635, 'aic': -74.96127454967727, 'bic': np.float64(-69.63245650897646)}, 1910: {'params': mu -1.635710
omega 0.002674
alpha[1] 0.364223
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Name: params, dtype: float64, 'loglikelihood': 37.715286804662654, 'aic': -67.43057360932531, 'bic': np.float64(-62.10175556862449)}, 1915: {'params': mu -1.576347e+00
omega 1.479532e-03
alpha[1] 9.307084e-01
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Name: params, dtype: float64, 'loglikelihood': 30.441709112585453, 'aic': -52.88341822517091, 'bic': np.float64(-47.55460018447009)}, 1920: {'params': mu -1.605714
omega 0.004870
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Name: params, dtype: float64, 'loglikelihood': 25.792168725241343, 'aic': -43.584337450482685, 'bic': np.float64(-38.25551940978187)}, 1925: {'params': mu -1.512082e+00
omega 1.354798e-03
alpha[1] 1.000000e+00
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Name: params, dtype: float64, 'loglikelihood': 22.82951679953866, 'aic': -37.65903359907732, 'bic': np.float64(-32.3302155583765)}, 1930: {'params': mu -1.505994e+00
omega 1.095926e-03
alpha[1] 1.000000e+00
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Name: params, dtype: float64, 'loglikelihood': 20.397591297564787, 'aic': -32.795182595129575, 'bic': np.float64(-27.466364554428758)}, 1935: {'params': mu -1.501813e+00
omega 1.036227e-03
alpha[1] 1.000000e+00
beta[1] 1.918753e-09
Name: params, dtype: float64, 'loglikelihood': 15.343668778448409, 'aic': -22.687337556896818, 'bic': np.float64(-17.358519516196004)}, 1940: {'params': mu -1.019404e+00
omega 7.293469e-05
alpha[1] 1.000000e+00
beta[1] 3.932096e-12
Name: params, dtype: float64, 'loglikelihood': 29.342174974081015, 'aic': -50.68434994816203, 'bic': np.float64(-45.35553190746121)}, 1945: {'params': mu -1.023171
omega 0.000352
alpha[1] 0.686658
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Name: params, dtype: float64, 'loglikelihood': 41.60993969322467, 'aic': -75.21987938644934, 'bic': np.float64(-69.89106134574853)}, 1950: {'params': mu -1.019688
omega 0.000077
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Name: params, dtype: float64, 'loglikelihood': 62.73453842243978, 'aic': -117.46907684487957, 'bic': np.float64(-112.14025880417876)}, 1955: {'params': mu -1.017805
omega 0.000098
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Name: params, dtype: float64, 'loglikelihood': 66.66874953317485, 'aic': -125.3374990663497, 'bic': np.float64(-120.00868102564888)}, 1960: {'params': mu -1.008581
omega 0.000045
alpha[1] 1.000000
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Name: params, dtype: float64, 'loglikelihood': 81.89283203948798, 'aic': -155.78566407897597, 'bic': np.float64(-150.45684603827516)}, 1965: {'params': mu -1.007345
omega 0.000039
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Name: params, dtype: float64, 'loglikelihood': 76.22066093964858, 'aic': -144.44132187929716, 'bic': np.float64(-139.11250383859635)}, 1970: {'params': mu -1.005841
omega 0.000022
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Name: params, dtype: float64, 'loglikelihood': 76.41601223932993, 'aic': -144.83202447865986, 'bic': np.float64(-139.50320643795905)}, 1975: {'params': mu -0.998660
omega 0.000105
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Name: params, dtype: float64, 'loglikelihood': 76.01805435209879, 'aic': -144.03610870419757, 'bic': np.float64(-138.70729066349676)}, 1980: {'params': mu -0.994065
omega 0.000070
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Name: params, dtype: float64, 'loglikelihood': 78.11529568696228, 'aic': -148.23059137392457, 'bic': np.float64(-142.90177333322376)}, 1985: {'params': mu -0.993182
omega 0.000048
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Name: params, dtype: float64, 'loglikelihood': 73.4207616482768, 'aic': -138.8415232965536, 'bic': np.float64(-133.51270525585278)}, 1990: {'params': mu -0.995644
omega 0.000117
alpha[1] 0.200000
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Name: params, dtype: float64, 'loglikelihood': 71.20161319125769, 'aic': -134.40322638251538, 'bic': np.float64(-129.07440834181457)}, 1995: {'params': mu -0.993141
omega 0.000070
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Name: params, dtype: float64, 'loglikelihood': 71.3691150217611, 'aic': -134.7382300435222, 'bic': np.float64(-129.4094120028214)}, 2000: {'params': mu -0.995556
omega 0.000079
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Name: params, dtype: float64, 'loglikelihood': 57.360861059188046, 'aic': -106.72172211837609, 'bic': np.float64(-101.39290407767528)}, 2005: {'params': mu -1.014295e+00
omega 2.826025e-04
alpha[1] 1.000000e+00
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Name: params, dtype: float64, 'loglikelihood': 52.13473080878517, 'aic': -96.26946161757034, 'bic': np.float64(-90.94064357686953)}, 2010: {'params': mu -1.018954
omega 0.000266
alpha[1] 0.999988
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Name: params, dtype: float64, 'loglikelihood': 47.10662928370648, 'aic': -86.21325856741296, 'bic': np.float64(-80.88444052671215)}, 2015: {'params': mu -1.011773
omega 0.000257
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Name: params, dtype: float64, 'loglikelihood': 46.71118502349225, 'aic': -85.4223700469845, 'bic': np.float64(-80.09355200628369)}, 2020: {'params': mu -1.008534e+00
omega 4.483378e-04
alpha[1] 1.000000e+00
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Name: params, dtype: float64, 'loglikelihood': 44.992412870316464, 'aic': -81.98482574063293, 'bic': np.float64(-76.65600769993212)}, 2025: {'params': mu -1.010977
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Name: params, dtype: float64, 'loglikelihood': 45.192908838885906, 'aic': -82.38581767777181, 'bic': np.float64(-77.056999637071)}, 2030: {'params': mu -1.002630
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Name: params, dtype: float64, 'loglikelihood': 49.68034058635738, 'aic': -91.36068117271476, 'bic': np.float64(-86.03186313201395)}, 2035: {'params': mu -1.003617
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Name: params, dtype: float64, 'loglikelihood': 47.72257728167219, 'aic': -87.44515456334437, 'bic': np.float64(-82.11633652264356)}, 2040: {'params': mu -1.005858
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Name: params, dtype: float64, 'loglikelihood': 37.63227311913203, 'aic': -67.26454623826406, 'bic': np.float64(-61.93572819756324)}, 2045: {'params': mu -8.462203e-01
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Name: params, dtype: float64, 'loglikelihood': 28.7939272863, 'aic': -49.5878545726, 'bic': np.float64(-44.259036531899184)}, 2050: {'params': mu -0.845595
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Name: params, dtype: float64, 'loglikelihood': 33.83179678741085, 'aic': -59.663593574821704, 'bic': np.float64(-54.33477553412089)}, 2055: {'params': mu -0.845675
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Name: params, dtype: float64, 'loglikelihood': 34.69637110050956, 'aic': -61.39274220101912, 'bic': np.float64(-56.0639241603183)}, 2060: {'params': mu -0.841206
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Name: params, dtype: float64, 'loglikelihood': 31.586133431426212, 'aic': -55.172266862852425, 'bic': np.float64(-49.84344882215161)}, 2065: {'params': mu -0.961770
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Name: params, dtype: float64, 'loglikelihood': 39.575497510026366, 'aic': -71.15099502005273, 'bic': np.float64(-65.82217697935192)}, 2070: {'params': mu -0.962046
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Name: params, dtype: float64, 'loglikelihood': 44.642544899214926, 'aic': -81.28508979842985, 'bic': np.float64(-75.95627175772904)}, 2075: {'params': mu -0.981256
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Name: params, dtype: float64, 'loglikelihood': 48.47013204134217, 'aic': -88.94026408268434, 'bic': np.float64(-83.61144604198353)}, 2080: {'params': mu -0.964421
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Name: params, dtype: float64, 'loglikelihood': 52.480167384920996, 'aic': -96.96033476984199, 'bic': np.float64(-91.63151672914118)}, 2085: {'params': mu -0.960222
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Name: params, dtype: float64, 'loglikelihood': 52.73291132776027, 'aic': -97.46582265552054, 'bic': np.float64(-92.13700461481973)}, 2090: {'params': mu -0.966874
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omega 0.000080
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Name: params, dtype: float64, 'loglikelihood': 54.777232599720115, 'aic': -101.55446519944023, 'bic': np.float64(-97.37637544854654)}, 1880: {'params': mu -1.684216e+00
omega 2.277083e-05
alpha[1] 2.849606e-11
beta[1] 1.000000e+00
Name: params, dtype: float64, 'loglikelihood': 44.47488525406479, 'aic': -80.94977050812957, 'bic': np.float64(-76.77168075723588)}, 1885: {'params': mu -1.671291
omega 0.000948
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Name: params, dtype: float64, 'loglikelihood': 37.87951105523443, 'aic': -67.75902211046886, 'bic': np.float64(-63.58093235957517)}, 1890: {'params': mu -1.618311
omega 0.000194
alpha[1] 0.939904
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Name: params, dtype: float64, 'loglikelihood': 38.2833502690681, 'aic': -68.5667005381362, 'bic': np.float64(-64.38861078724251)}, 1895: {'params': mu -1.620249e+00
omega 2.043033e-04
alpha[1] 9.341471e-01
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Name: params, dtype: float64, 'loglikelihood': 42.20424926107212, 'aic': -76.40849852214424, 'bic': np.float64(-72.23040877125055)}, 1900: {'params': mu -1.597027e+00
omega 2.230732e-05
alpha[1] 1.420007e-10
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Name: params, dtype: float64, 'loglikelihood': 42.46589776221031, 'aic': -76.93179552442062, 'bic': np.float64(-72.75370577352693)}, 1905: {'params': mu -1.614104
omega 0.000345
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Name: params, dtype: float64, 'loglikelihood': 34.78327172992831, 'aic': -61.56654345985662, 'bic': np.float64(-57.38845370896293)}, 1910: {'params': mu -1.625390
omega 0.002228
alpha[1] 0.533218
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Name: params, dtype: float64, 'loglikelihood': 27.885053257836887, 'aic': -47.770106515673774, 'bic': np.float64(-43.592016764780084)}, 1915: {'params': mu -1.679346
omega 0.001190
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Name: params, dtype: float64, 'loglikelihood': 27.898955678926423, 'aic': -47.79791135785285, 'bic': np.float64(-43.61982160695916)}, 1920: {'params': mu -1.688495e+00
omega 1.361215e-03
alpha[1] 1.000000e+00
beta[1] 3.260403e-11
Name: params, dtype: float64, 'loglikelihood': 25.69218583374309, 'aic': -43.38437166748618, 'bic': np.float64(-39.20628191659249)}, 1925: {'params': mu -1.682064e+00
omega 1.215112e-03
alpha[1] 1.000000e+00
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Name: params, dtype: float64, 'loglikelihood': 21.889749232719915, 'aic': -35.77949846543983, 'bic': np.float64(-31.60140871454614)}, 1930: {'params': mu -1.508326e+00
omega 1.158553e-03
alpha[1] 1.000000e+00
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Name: params, dtype: float64, 'loglikelihood': 23.369869148747732, 'aic': -38.739738297495464, 'bic': np.float64(-34.56164854660177)}, 1935: {'params': mu -1.503426
omega 0.001024
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Name: params, dtype: float64, 'loglikelihood': 20.270896747025134, 'aic': -32.54179349405027, 'bic': np.float64(-28.363703743156577)}, 1940: {'params': mu -1.490394
omega 0.002432
alpha[1] 1.000000
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Name: params, dtype: float64, 'loglikelihood': 8.247379980111553, 'aic': -8.494759960223107, 'bic': np.float64(-4.3166702093294145)}, 1945: {'params': mu -1.020694
omega 0.000046
alpha[1] 0.992237
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Name: params, dtype: float64, 'loglikelihood': 26.208000100439413, 'aic': -44.41600020087883, 'bic': np.float64(-40.23791044998514)}, 1950: {'params': mu -1.021967
omega 0.000032
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beta[1] 0.003429
Name: params, dtype: float64, 'loglikelihood': 45.046706680520245, 'aic': -82.09341336104049, 'bic': np.float64(-77.9153236101468)}, 1955: {'params': mu -1.023303
omega 0.000111
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Name: params, dtype: float64, 'loglikelihood': 48.97295313250473, 'aic': -89.94590626500946, 'bic': np.float64(-85.76781651411576)}, 1960: {'params': mu -1.013419e+00
omega 6.514639e-05
alpha[1] 5.385327e-01
beta[1] 4.664960e-16
Name: params, dtype: float64, 'loglikelihood': 65.45236144731287, 'aic': -122.90472289462573, 'bic': np.float64(-118.72663314373204)}, 1965: {'params': mu -1.010052
omega 0.000107
alpha[1] 0.280033
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Name: params, dtype: float64, 'loglikelihood': 59.49424894538945, 'aic': -110.9884978907789, 'bic': np.float64(-106.81040813988521)}, 1970: {'params': mu -1.006518
omega 0.000030
alpha[1] 0.479086
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Name: params, dtype: float64, 'loglikelihood': 55.91732449391931, 'aic': -103.83464898783862, 'bic': np.float64(-99.65655923694493)}, 1975: {'params': mu -1.004548
omega 0.000033
alpha[1] 1.000000
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Name: params, dtype: float64, 'loglikelihood': 58.13974994939395, 'aic': -108.2794998987879, 'bic': np.float64(-104.10141014789421)}, 1980: {'params': mu -0.995598
omega 0.000073
alpha[1] 0.890118
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Name: params, dtype: float64, 'loglikelihood': 57.435935157903394, 'aic': -106.87187031580679, 'bic': np.float64(-102.6937805649131)}, 1985: {'params': mu -0.995195
omega 0.000048
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Name: params, dtype: float64, 'loglikelihood': 53.33318102912351, 'aic': -98.66636205824702, 'bic': np.float64(-94.48827230735333)}, 1990: {'params': mu -0.992146
omega 0.000091
alpha[1] 0.199998
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Name: params, dtype: float64, 'loglikelihood': 56.351049566429765, 'aic': -104.70209913285953, 'bic': np.float64(-100.52400938196584)}, 1995: {'params': mu -0.992625
omega 0.000030
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Name: params, dtype: float64, 'loglikelihood': 57.599587457854774, 'aic': -107.19917491570955, 'bic': np.float64(-103.02108516481586)}, 2000: {'params': mu -1.000556e+00
omega 2.382758e-04
alpha[1] 5.750608e-01
beta[1] 1.108949e-15
Name: params, dtype: float64, 'loglikelihood': 51.87224503983813, 'aic': -95.74449007967625, 'bic': np.float64(-91.56640032878256)}, 2005: {'params': mu -1.011354e+00
omega 1.464252e-04
alpha[1] 9.047708e-01
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Name: params, dtype: float64, 'loglikelihood': 51.16250827924915, 'aic': -94.3250165584983, 'bic': np.float64(-90.14692680760461)}, 2010: {'params': mu -1.026178
omega 0.000204
alpha[1] 1.000000
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Name: params, dtype: float64, 'loglikelihood': 40.162425807338025, 'aic': -72.32485161467605, 'bic': np.float64(-68.14676186378236)}, 2015: {'params': mu -0.973827
omega 0.002497
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Name: params, dtype: float64, 'loglikelihood': 29.82375945698095, 'aic': -51.6475189139619, 'bic': np.float64(-47.46942916306821)}, 2020: {'params': mu -0.921373
omega 0.000211
alpha[1] 0.901140
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Name: params, dtype: float64, 'loglikelihood': 33.931613425819165, 'aic': -59.86322685163833, 'bic': np.float64(-55.68513710074464)}, 2025: {'params': mu -0.920416
omega 0.000048
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Name: params, dtype: float64, 'loglikelihood': 36.24897545784215, 'aic': -64.4979509156843, 'bic': np.float64(-60.31986116479061)}, 2030: {'params': mu -1.004973e+00
omega 2.464366e-04
alpha[1] 8.936874e-01
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Name: params, dtype: float64, 'loglikelihood': 38.97125413392762, 'aic': -69.94250826785525, 'bic': np.float64(-65.76441851696156)}, 2035: {'params': mu -1.004114
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Name: params, dtype: float64, 'loglikelihood': 43.6130948922535, 'aic': -79.226189784507, 'bic': np.float64(-75.04810003361331)}, 2040: {'params': mu -1.006760e+00
omega 4.019171e-04
alpha[1] 1.000000e+00
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Name: params, dtype: float64, 'loglikelihood': 37.91496885260334, 'aic': -67.82993770520667, 'bic': np.float64(-63.651847954312984)}, 2045: {'params': mu -1.008625e+00
omega 6.341541e-04
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Name: params, dtype: float64, 'loglikelihood': 25.081587697336982, 'aic': -42.163175394673964, 'bic': np.float64(-37.98508564378027)}, 2050: {'params': mu -0.772491
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Name: params, dtype: float64, 'loglikelihood': 22.257320447503346, 'aic': -36.51464089500669, 'bic': np.float64(-32.336551144113)}, 2055: {'params': mu -0.846549
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Name: params, dtype: float64, 'loglikelihood': 34.716930790226506, 'aic': -61.43386158045301, 'bic': np.float64(-57.25577182955932)}, 2060: {'params': mu -0.826590
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Name: params, dtype: float64, 'loglikelihood': 27.535340228819404, 'aic': -47.07068045763881, 'bic': np.float64(-42.89259070674512)}, 2065: {'params': mu -0.853287
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Name: params, dtype: float64, 'loglikelihood': 35.193462997827396, 'aic': -62.38692599565479, 'bic': np.float64(-58.2088362447611)}, 2075: {'params': mu -0.962243
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Name: params, dtype: float64, 'loglikelihood': 38.92318923843664, 'aic': -69.84637847687328, 'bic': np.float64(-65.6682887259796)}, 2080: {'params': mu -9.896067e-01
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Name: params, dtype: float64, 'loglikelihood': 40.59329290385871, 'aic': -73.18658580771742, 'bic': np.float64(-69.00849605682373)}, 2085: {'params': mu -0.961523
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Name: params, dtype: float64, 'loglikelihood': 37.101736510223944, 'aic': -66.20347302044789, 'bic': np.float64(-62.0253832695542)}, 2095: {'params': mu -0.962392
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Name: params, dtype: float64, 'loglikelihood': 29.895601778989793, 'aic': -51.791203557979586, 'bic': np.float64(-47.613113807085895)}, 2100: {'params': mu -0.949121
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Name: params, dtype: float64, 'loglikelihood': 25.996822409834436, 'aic': -43.99364481966887, 'bic': np.float64(-39.81555506877518)}, 2105: {'params': mu -7.925037e-01
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omega 0.000250
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Name: params, dtype: float64, 'loglikelihood': 16.688268416373827, 'aic': -25.376536832747654, 'bic': np.float64(-25.5928962365264)}, 1815: {'params': mu -1.560737e+00
omega 5.846026e-06
alpha[1] 1.000000e+00
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Name: params, dtype: float64, 'loglikelihood': 14.816503141523194, 'aic': -21.633006283046388, 'bic': np.float64(-21.849365686825134)}, 1820: {'params': mu -1.582887e+00
omega 5.328989e-11
alpha[1] 6.530584e-08
beta[1] 9.543237e-01
Name: params, dtype: float64, 'loglikelihood': 19.13315611512281, 'aic': -30.266312230245617, 'bic': np.float64(-30.482671634024364)}, 1825: {'params': mu -1.587972
omega 0.000028
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Name: params, dtype: float64, 'loglikelihood': 24.279233903727132, 'aic': -40.558467807454264, 'bic': np.float64(-40.77482721123301)}, 1830: {'params': mu -1.590615e+00
omega 3.422340e-05
alpha[1] 9.999993e-01
beta[1] 9.280275e-07
Name: params, dtype: float64, 'loglikelihood': 21.624223769693067, 'aic': -35.248447539386135, 'bic': np.float64(-35.46480694316488)}, 1835: {'params': mu -1.612206
omega 0.000016
alpha[1] 0.010000
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Name: params, dtype: float64, 'loglikelihood': 24.608073642672124, 'aic': -41.21614728534425, 'bic': np.float64(-41.432506689122995)}, 1840: {'params': mu -1.619632
omega 0.000018
alpha[1] 0.000001
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Name: params, dtype: float64, 'loglikelihood': 18.67853906686092, 'aic': -29.357078133721842, 'bic': np.float64(-29.57343753750059)}, 1845: {'params': mu -1.633856
omega 0.000020
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Name: params, dtype: float64, 'loglikelihood': 23.30199997919249, 'aic': -38.60399995838498, 'bic': np.float64(-38.82035936216373)}, 1850: {'params': mu -1.618321
omega 0.000073
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Name: params, dtype: float64, 'loglikelihood': 14.440364548524517, 'aic': -20.880729097049034, 'bic': np.float64(-21.09708850082778)}, 1855: {'params': mu -1.599370e+00
omega 9.889355e-04
alpha[1] 8.586695e-12
beta[1] 0.000000e+00
Name: params, dtype: float64, 'loglikelihood': 14.214387433748916, 'aic': -20.428774867497832, 'bic': np.float64(-20.64513427127658)}, 1860: {'params': mu -1.676498e+00
omega 9.633718e-11
alpha[1] 0.000000e+00
beta[1] 5.636252e-01
Name: params, dtype: float64, 'loglikelihood': 19.190611103719043, 'aic': -30.381222207438086, 'bic': np.float64(-30.59758161121683)}, 1865: {'params': mu -1.678946e+00
omega 6.515298e-05
alpha[1] 9.655301e-13
beta[1] 1.000000e+00
Name: params, dtype: float64, 'loglikelihood': 16.473204227004896, 'aic': -24.94640845400979, 'bic': np.float64(-25.162767857788538)}, 1870: {'params': mu -1.715072
omega 0.000131
alpha[1] 0.439322
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Name: params, dtype: float64, 'loglikelihood': 17.889173057945555, 'aic': -27.77834611589111, 'bic': np.float64(-27.994705519669857)}, 1875: {'params': mu -1.720768
omega 0.000005
alpha[1] 0.010000
beta[1] 0.890000
Name: params, dtype: float64, 'loglikelihood': 24.47373241912079, 'aic': -40.94746483824158, 'bic': np.float64(-41.163824242020326)}, 1880: {'params': mu -1.687539
omega 0.000005
alpha[1] 0.931257
beta[1] 0.008684
Name: params, dtype: float64, 'loglikelihood': 23.40265009111637, 'aic': -38.80530018223274, 'bic': np.float64(-39.02165958601149)}, 1885: {'params': mu -1.683249e+00
omega 1.199975e-05
alpha[1] 1.580978e-10
beta[1] 1.000000e+00
Name: params, dtype: float64, 'loglikelihood': 20.86006505739751, 'aic': -33.72013011479502, 'bic': np.float64(-33.936489518573765)}, 1890: {'params': mu -1.677876
omega 0.000113
alpha[1] 0.010000
beta[1] 0.490000
Name: params, dtype: float64, 'loglikelihood': 19.42948742150865, 'aic': -30.8589748430173, 'bic': np.float64(-31.075334246796047)}, 1895: {'params': mu -1.653167
omega 0.000158
alpha[1] 0.000000
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Name: params, dtype: float64, 'loglikelihood': 11.174053650581348, 'aic': -14.348107301162695, 'bic': np.float64(-14.564466704941442)}, 1900: {'params': mu -1.583317e+00
omega 1.245330e-04
alpha[1] 1.000000e+00
beta[1] 3.937010e-09
Name: params, dtype: float64, 'loglikelihood': 16.41323373741183, 'aic': -24.82646747482366, 'bic': np.float64(-25.042826878602405)}, 1905: {'params': mu -1.618945e+00
omega 9.681631e-06
alpha[1] 8.246527e-15
beta[1] 1.000000e+00
Name: params, dtype: float64, 'loglikelihood': 19.824092741491096, 'aic': -31.648185482982193, 'bic': np.float64(-31.86454488676094)}, 1910: {'params': mu -1.614645
omega 0.000074
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Name: params, dtype: float64, 'loglikelihood': 13.876856615051752, 'aic': -19.753713230103504, 'bic': np.float64(-19.97007263388225)}, 1915: {'params': mu -1.572290e+00
omega 2.393276e-04
alpha[1] 1.000000e+00
beta[1] 1.161987e-10
Name: params, dtype: float64, 'loglikelihood': 14.672187215902127, 'aic': -21.344374431804255, 'bic': np.float64(-21.560733835583)}, 1920: {'params': mu -1.687645
omega 0.000204
alpha[1] 0.000000
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Name: params, dtype: float64, 'loglikelihood': 8.070931366886905, 'aic': -8.14186273377381, 'bic': np.float64(-8.358222137552556)}, 1925: {'params': mu -1.709913
omega 0.000404
alpha[1] 0.000000
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Name: params, dtype: float64, 'loglikelihood': 13.546857363498708, 'aic': -19.093714726997415, 'bic': np.float64(-19.31007413077616)}, 1930: {'params': mu -1.666786
omega 0.001479
alpha[1] 0.808939
beta[1] 0.000000
Name: params, dtype: float64, 'loglikelihood': 11.267786111642025, 'aic': -14.53557222328405, 'bic': np.float64(-14.751931627062795)}, 1935: {'params': mu -1.523165e+00
omega 5.064705e-04
alpha[1] 4.544884e-13
beta[1] 6.813851e-01
Name: params, dtype: float64, 'loglikelihood': 11.952935779941761, 'aic': -15.905871559883522, 'bic': np.float64(-16.12223096366227)}, 1940: {'params': mu -1.519843
omega 0.000806
alpha[1] 0.009992
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Name: params, dtype: float64, 'loglikelihood': 12.624255561555065, 'aic': -17.24851112311013, 'bic': np.float64(-17.464870526888877)}, 1945: {'params': mu -1.424744e+00
omega 1.532489e-03
alpha[1] 2.804037e-17
beta[1] 6.886462e-01
Name: params, dtype: float64, 'loglikelihood': 8.285249359882085, 'aic': -8.57049871976417, 'bic': np.float64(-8.786858123542917)}, 1950: {'params': mu -1.157035
omega 0.000124
alpha[1] 1.000000
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Name: params, dtype: float64, 'loglikelihood': 10.885988123961084, 'aic': -13.771976247922169, 'bic': np.float64(-13.988335651700915)}, 1955: {'params': mu -1.023092
omega 0.000002
alpha[1] 0.590411
beta[1] 0.001860
Name: params, dtype: float64, 'loglikelihood': 18.46722548221762, 'aic': -28.934450964435243, 'bic': np.float64(-29.15081036821399)}, 1960: {'params': mu -1.014680
omega 0.000016
alpha[1] 0.010000
beta[1] 0.689991
Name: params, dtype: float64, 'loglikelihood': 24.507662698589456, 'aic': -41.01532539717891, 'bic': np.float64(-41.23168480095766)}, 1965: {'params': mu -1.025194
omega 0.000029
alpha[1] 0.010000
beta[1] 0.489998
Name: params, dtype: float64, 'loglikelihood': 24.198780163003057, 'aic': -40.397560326006115, 'bic': np.float64(-40.61391972978486)}, 1970: {'params': mu -1.020903
omega 0.000077
alpha[1] 0.010000
beta[1] 0.489998
Name: params, dtype: float64, 'loglikelihood': 20.778503647376503, 'aic': -33.55700729475301, 'bic': np.float64(-33.77336669853175)}, 1975: {'params': mu -1.003943
omega 0.000009
alpha[1] 0.010000
beta[1] 0.490000
Name: params, dtype: float64, 'loglikelihood': 28.328041760097335, 'aic': -48.65608352019467, 'bic': np.float64(-48.872442923973416)}, 1980: {'params': mu -0.992582
omega 0.000005
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Name: params, dtype: float64, 'loglikelihood': 21.77219094228591, 'aic': -35.54438188457182, 'bic': np.float64(-35.760741288350566)}, 1985: {'params': mu -1.015704
omega 0.000426
alpha[1] 0.009998
beta[1] 0.489947
Name: params, dtype: float64, 'loglikelihood': 14.808960447777842, 'aic': -21.617920895555685, 'bic': np.float64(-21.83428029933443)}, 1990: {'params': mu -0.991338
omega 0.000118
alpha[1] 0.382106
beta[1] 0.207862
Name: params, dtype: float64, 'loglikelihood': 17.593436863226017, 'aic': -27.186873726452035, 'bic': np.float64(-27.40323313023078)}, 1995: {'params': mu -0.992899
omega 0.000022
alpha[1] 0.009999
beta[1] 0.490046
Name: params, dtype: float64, 'loglikelihood': 25.196761668319827, 'aic': -42.39352333663965, 'bic': np.float64(-42.6098827404184)}, 2000: {'params': mu -0.991010
omega 0.000072
alpha[1] 0.280013
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Name: params, dtype: float64, 'loglikelihood': 21.240834230895683, 'aic': -34.481668461791365, 'bic': np.float64(-34.69802786557011)}, 2005: {'params': mu -0.990455
omega 0.000180
alpha[1] 0.009999
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Name: params, dtype: float64, 'loglikelihood': 17.822060436155, 'aic': -27.644120872309998, 'bic': np.float64(-27.860480276088744)}, 2010: {'params': mu -1.011239e+00
omega 5.353080e-12
alpha[1] 1.766617e-08
beta[1] 8.945764e-01
Name: params, dtype: float64, 'loglikelihood': 16.73614302655568, 'aic': -25.47228605311136, 'bic': np.float64(-25.688645456890107)}, 2015: {'params': mu -1.015399
omega 0.000007
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Name: params, dtype: float64, 'loglikelihood': 20.017879327081914, 'aic': -32.03575865416383, 'bic': np.float64(-32.252118057942575)}, 2020: {'params': mu -1.024095e+00
omega 5.159821e-05
alpha[1] 3.248942e-12
beta[1] 1.000000e+00
Name: params, dtype: float64, 'loglikelihood': 15.764316570574188, 'aic': -23.528633141148376, 'bic': np.float64(-23.744992544927122)}, 2025: {'params': mu -0.902792
omega 0.000324
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Name: params, dtype: float64, 'loglikelihood': 12.918121392719108, 'aic': -17.836242785438216, 'bic': np.float64(-18.052602189216962)}, 2030: {'params': mu -0.923661
omega 0.000197
alpha[1] 0.009997
beta[1] 0.490003
Name: params, dtype: float64, 'loglikelihood': 17.513059124428707, 'aic': -27.026118248857415, 'bic': np.float64(-27.24247765263616)}, 2035: {'params': mu -0.977173
omega 0.000248
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Name: params, dtype: float64, 'loglikelihood': 15.877867436578876, 'aic': -23.755734873157753, 'bic': np.float64(-23.9720942769365)}, 2040: {'params': mu -1.008371e+00
omega 9.967068e-06
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Name: params, dtype: float64, 'loglikelihood': 19.035057378566176, 'aic': -30.07011475713235, 'bic': np.float64(-30.286474160911098)}, 2045: {'params': mu -1.028380e+00
omega 3.363066e-12
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Name: params, dtype: float64, 'loglikelihood': 19.758222277983766, 'aic': -31.51644455596753, 'bic': np.float64(-31.732803959746278)}, 2050: {'params': mu -0.999048
omega 0.000137
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Name: params, dtype: float64, 'loglikelihood': 12.168801552756918, 'aic': -16.337603105513836, 'bic': np.float64(-16.55396250929258)}, 2055: {'params': mu -0.895075
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Name: params, dtype: float64, 'loglikelihood': 12.254679845383198, 'aic': -16.509359690766395, 'bic': np.float64(-16.72571909454514)}, 2060: {'params': mu -7.499407e-01
omega 3.113391e-05
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Name: params, dtype: float64, 'loglikelihood': 16.361184592812016, 'aic': -24.722369185624032, 'bic': np.float64(-24.93872858940278)}, 2065: {'params': mu -0.759741
omega 0.000526
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Name: params, dtype: float64, 'loglikelihood': 13.700614745945387, 'aic': -19.401229491890774, 'bic': np.float64(-19.61758889566952)}, 2070: {'params': mu -0.846667
omega 0.000003
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Name: params, dtype: float64, 'loglikelihood': 19.716175509921786, 'aic': -31.432351019843573, 'bic': np.float64(-31.64871042362232)}, 2075: {'params': mu -1.011012e+00
omega 4.143960e-05
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Name: params, dtype: float64, 'loglikelihood': 13.117102404941843, 'aic': -18.234204809883686, 'bic': np.float64(-18.45056421366243)}, 2080: {'params': mu -9.833543e-01
omega 4.398762e-04
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Name: params, dtype: float64, 'loglikelihood': 13.98754594519015, 'aic': -19.9750918903803, 'bic': np.float64(-20.191451294159044)}, 2085: {'params': mu -9.518465e-01
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Name: params, dtype: float64, 'loglikelihood': 21.03894352060874, 'aic': -34.07788704121748, 'bic': np.float64(-34.294246444996226)}, 2090: {'params': mu -9.990963e-01
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Name: params, dtype: float64, 'loglikelihood': 13.454115049329213, 'aic': -18.908230098658425, 'bic': np.float64(-19.12458950243717)}, 2095: {'params': mu -1.025755e+00
omega 2.789136e-09
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omega 1.144102e-08
alpha[1] 2.169860e-08
beta[1] 8.552717e-01
Name: params, dtype: float64, 'loglikelihood': 3.61761294783731, 'aic': 0.7647741043253804, 'bic': np.float64(0.5484147005466333)}, 4620: {'params': mu -2.005530
omega 0.000161
alpha[1] 0.009999
beta[1] 0.489992
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omega 3.073037e-12
alpha[1] 0.000000e+00
beta[1] 9.046176e-01
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omega 1.133899e-05
alpha[1] 1.703820e-17
beta[1] 1.000000e+00
Name: params, dtype: float64, 'loglikelihood': 18.085138203860485, 'aic': -28.17027640772097, 'bic': np.float64(-28.386635811499715)}, 4635: {'params': mu -1.975969e+00
omega 2.780866e-05
alpha[1] 6.300139e-15
beta[1] 1.000000e+00
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omega 1.123144e-04
alpha[1] 1.003831e-15
beta[1] 1.000000e+00
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omega 8.622302e-04
alpha[1] 1.000000e+00
beta[1] 2.162652e-12
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omega 0.000350
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omega 2.465190e-32
alpha[1] 1.000000e-02
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omega 0.000411
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beta[1] 9.440934e-01
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beta[1] 1.000000e+00
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alpha[1] 9.999969e-01
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omega 2.568285e-04
alpha[1] 4.548807e-14
beta[1] 1.000000e+00
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omega 0.000009
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alpha[1] 1.000000e-02
beta[1] 4.900000e-01
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omega 9.860761e-32
alpha[1] 1.000000e-02
beta[1] 4.900000e-01
Name: params, dtype: float64, 'loglikelihood': 237.52097372746778, 'aic': -467.04194745493555, 'bic': np.float64(-467.2583068587143)}, 4770: {'params': mu -3.903574
omega 0.000169
alpha[1] 0.000000
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omega 3.264361e-11
alpha[1] 6.931695e-13
beta[1] 9.773930e-01
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omega 0.002857
alpha[1] 0.009989
beta[1] 0.490084
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omega 2.871585e-04
alpha[1] 3.932679e-15
beta[1] 8.649642e-01
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omega 1.494180e-03
alpha[1] 2.026077e-15
beta[1] 7.567627e-01
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omega 2.187114e-02
alpha[1] 3.919007e-01
beta[1] 1.129527e-15
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omega 4.268070e-06
alpha[1] 4.953625e-01
beta[1] 3.731912e-09
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omega 3.944305e-31
alpha[1] 1.000000e-02
beta[1] 4.900000e-01
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omega 1.231588e-02
alpha[1] 4.574283e-01
beta[1] 3.939068e-15
Name: params, dtype: float64, 'loglikelihood': 3.5259055100018566, 'aic': 0.9481889799962868, 'bic': np.float64(0.7318295762175397)}, 4815: {'params': mu -4.739607e+00
omega 8.091234e-06
alpha[1] 1.000000e+00
beta[1] 1.839644e-08
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omega 3.944305e-31
alpha[1] 1.000000e-02
beta[1] 4.900000e-01
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omega 3.944305e-31
alpha[1] 1.000000e-02
beta[1] 4.900000e-01
Name: params, dtype: float64, 'loglikelihood': 232.66894346354815, 'aic': -457.3378869270963, 'bic': np.float64(-457.55424633087506)}, 4830: {'params': mu -4.739645e+00
omega 3.944305e-31
alpha[1] 1.000000e-02
beta[1] 4.900000e-01
Name: params, dtype: float64, 'loglikelihood': 232.66894346354815, 'aic': -457.3378869270963, 'bic': np.float64(-457.55424633087506)}, 4835: {'params': mu -4.810209
omega 0.021378
alpha[1] 0.011004
beta[1] 0.492385
Name: params, dtype: float64, 'loglikelihood': 1.477315917753058, 'aic': 5.045368164493884, 'bic': np.float64(4.829008760715137)}, 4840: {'params': mu -4.625561
omega 0.001817
alpha[1] 0.000000
beta[1] 1.000000
Name: params, dtype: float64, 'loglikelihood': 0.957686688756147, 'aic': 6.084626622487706, 'bic': np.float64(5.868267218708959)}, 4845: {'params': mu -4.572954e+00
omega 7.530498e-09
alpha[1] 9.999991e-01
beta[1] 6.272999e-09
Name: params, dtype: float64, 'loglikelihood': 30.827086613161303, 'aic': -53.654173226322605, 'bic': np.float64(-53.87053263010135)}, 4850: {'params': mu -4.572978
omega 0.000000
alpha[1] 0.010000
beta[1] 0.490000
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omega 1.707982e-03
alpha[1] 7.052844e-17
beta[1] 1.000000e+00
Name: params, dtype: float64, 'loglikelihood': 0.7593158260071847, 'aic': 6.48136834798563, 'bic': np.float64(6.265008944206883)}, 4860: {'params': mu -4.145816
omega 0.029156
alpha[1] 0.010626
beta[1] 0.491388
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omega 0.000000
alpha[1] 0.010000
beta[1] 0.490000
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omega 0.013690
alpha[1] 0.519981
beta[1] 0.000000
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beta[1] 0.000000
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omega 6.732155e-03
alpha[1] 1.818321e-16
beta[1] 1.000000e+00
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alpha[1] 2.995226e-14
beta[1] 9.166958e-01
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alpha[1] 1.000000e-02
beta[1] 4.900000e-01
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omega 4.650873e-06
alpha[1] 9.547564e-01
beta[1] 2.464859e-08
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omega 0.000000
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omega 0.000000
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omega 0.000000
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omega 0.000000
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omega 0.000000
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omega 0.000000
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alpha[1] 0.010000
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beta[1] 0.490000
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beta[1] 0.490000
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import numpy as np
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
# Función para calcular el MAPE
def MAPE(y_true, y_pred):
return np.mean(np.abs((y_true - y_pred) / y_true)) * 100
# Función para evaluar las métricas en el último set de predicciones de cada ventana
def evaluar_ultima_prediccion(variable, predicciones, test_series):
resultados_metricas = {}
for ventana, predicciones_por_ventana in predicciones.items():
print(f"\nEvaluando '{variable}' para ventana: {ventana}")
# Obtener el último set de predicciones
last_start = max(predicciones_por_ventana.keys())
y_pred = predicciones_por_ventana[last_start][:len(test_series)]
# Calcular las métricas
mae = mean_absolute_error(test_series, y_pred)
mse = mean_squared_error(test_series, y_pred)
rmse = np.sqrt(mse)
mape = MAPE(test_series, y_pred)
r2 = r2_score(test_series, y_pred)
# Guardar y mostrar los resultados de las métricas
resultados_metricas[ventana] = {
'MAE': mae,
'MSE': mse,
'RMSE': rmse,
'MAPE': mape,
'R2': r2
}
print(f" MAE: {mae:.4f}")
print(f" MSE: {mse:.4f}")
print(f" RMSE: {rmse:.4f}")
print(f" MAPE: {mape:.2f}%")
print(f" R^2: {r2:.4f}")
return resultados_metricas
# Conjunto de validación real para cada variable
test_size = 28
test_series_price = df['Price'].iloc[-test_size:].dropna().reset_index(drop=True)
test_series_volatilidad = df['Volatilidad_14'].iloc[-test_size:].dropna().reset_index(drop=True)
test_series_at = df['At'].iloc[-test_size:].dropna().reset_index(drop=True)
# 1. Evaluar y mostrar resultados para 'Price'
print("Evaluando modelo para 'Price'")
resultados_metricas_price = evaluar_ultima_prediccion('Price', predicciones_price, test_series_price)
# Los resultados métricas para cada variable están guardados en
# resultados_metricas_price, resultados_metricas_volatilidad y resultados_metricas_at
Evaluando modelo para 'Price'
Evaluando 'Price' para ventana: 14
MAE: 0.1000
MSE: 0.0100
RMSE: 0.1000
MAPE: 100.00%
R^2: -51922968585348295380567383343104.0000
Evaluando 'Price' para ventana: 28
MAE: 0.1000
MSE: 0.0100
RMSE: 0.1000
MAPE: 100.00%
R^2: -51922968585348295380567383343104.0000
Evaluando 'Price' para ventana: 21
MAE: 0.1000
MSE: 0.0100
RMSE: 0.1000
MAPE: 100.00%
R^2: -51922968585348295380567383343104.0000
Evaluando 'Price' para ventana: 7
MAE: 0.1000
MSE: 0.0100
RMSE: 0.1000
MAPE: 100.00%
R^2: -51922968585348295380567383343104.0000
Evaluando modelo para 'Volatilidad_14'
Evaluando 'Volatilidad_14' para ventana: 14
MAE: 0.0000
MSE: 0.0000
RMSE: 0.0000
MAPE: nan%
R^2: 1.0000
Evaluando 'Volatilidad_14' para ventana: 28
MAE: 0.0000
MSE: 0.0000
RMSE: 0.0000
MAPE: nan%
R^2: 1.0000
Evaluando 'Volatilidad_14' para ventana: 21
MAE: 0.0000
MSE: 0.0000
RMSE: 0.0000
MAPE: nan%
R^2: 1.0000
Evaluando 'Volatilidad_14' para ventana: 7
MAE: 0.0000
MSE: 0.0000
RMSE: 0.0000
MAPE: nan%
R^2: 1.0000
Evaluando modelo para 'At'
Evaluando 'At' para ventana: 14
MAE: 4.3230
MSE: 18.6881
RMSE: 4.3230
MAPE: 100.00%
R^2: 0.0000
Evaluando 'At' para ventana: 28
MAE: 4.3230
MSE: 18.6881
RMSE: 4.3230
MAPE: 100.00%
R^2: 0.0000
Evaluando 'At' para ventana: 21
MAE: 4.3230
MSE: 18.6881
RMSE: 4.3230
MAPE: 100.00%
R^2: 0.0000
Evaluando 'At' para ventana: 7
MAE: 4.3230
MSE: 18.6881
RMSE: 4.3230
MAPE: 100.00%
R^2: 0.0000
# 2. Evaluar y mostrar resultados para 'Volatilidad_14'
print("\nEvaluando modelo para 'Volatilidad_14'")
resultados_metricas_volatilidad = evaluar_ultima_prediccion('Volatilidad_14', predicciones_volatilidad, test_series_volatilidad)
# 3. Evaluar y mostrar resultados para 'At'
print("\nEvaluando modelo para 'At'")
resultados_metricas_at = evaluar_ultima_prediccion('At', predicciones_at, test_series_at)
Evaluando modelo para 'Volatilidad_14'
Evaluando 'Volatilidad_14' para ventana: 14
MAE: 0.0000
MSE: 0.0000
RMSE: 0.0000
MAPE: nan%
R^2: 1.0000
Evaluando 'Volatilidad_14' para ventana: 28
MAE: 0.0000
MSE: 0.0000
RMSE: 0.0000
MAPE: nan%
R^2: 1.0000
Evaluando 'Volatilidad_14' para ventana: 21
MAE: 0.0000
MSE: 0.0000
RMSE: 0.0000
MAPE: nan%
R^2: 1.0000
Evaluando 'Volatilidad_14' para ventana: 7
MAE: 0.0000
MSE: 0.0000
RMSE: 0.0000
MAPE: nan%
R^2: 1.0000
Evaluando modelo para 'At'
Evaluando 'At' para ventana: 14
MAE: 4.3230
MSE: 18.6881
RMSE: 4.3230
MAPE: 100.00%
R^2: 0.0000
Evaluando 'At' para ventana: 28
MAE: 4.3230
MSE: 18.6881
RMSE: 4.3230
MAPE: 100.00%
R^2: 0.0000
Evaluando 'At' para ventana: 21
MAE: 4.3230
MSE: 18.6881
RMSE: 4.3230
MAPE: 100.00%
R^2: 0.0000
Evaluando 'At' para ventana: 7
MAE: 4.3230
MSE: 18.6881
RMSE: 4.3230
MAPE: 100.00%
R^2: 0.0000
# 3. Evaluar y mostrar resultados para 'At'
print("\nEvaluando modelo para 'At'")
resultados_metricas_at = evaluar_ultima_prediccion('At', predicciones_at, test_series_at)
Evaluando modelo para 'At'
Evaluando 'At' para ventana: 14
MAE: 4.3230
MSE: 18.6881
RMSE: 4.3230
MAPE: 100.00%
R^2: 0.0000
Evaluando 'At' para ventana: 28
MAE: 4.3230
MSE: 18.6881
RMSE: 4.3230
MAPE: 100.00%
R^2: 0.0000
Evaluando 'At' para ventana: 21
MAE: 4.3230
MSE: 18.6881
RMSE: 4.3230
MAPE: 100.00%
R^2: 0.0000
Evaluando 'At' para ventana: 7
MAE: 4.3230
MSE: 18.6881
RMSE: 4.3230
MAPE: 100.00%
R^2: 0.0000
import pandas as pd
import numpy as np
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.stats.diagnostic import acorr_ljungbox
from statsmodels.stats.stattools import jarque_bera
import matplotlib.pyplot as plt
import seaborn as sns
import statsmodels.api as sm
# Función para calcular el MAPE
def MAPE(y_true, y_pred):
return np.mean(np.abs((y_true - y_pred) / y_true)) * 100
# Función para evaluar el modelo y calcular métricas
def evaluar_modelo(variable, predicciones, test_series):
resultados_metricas = {}
for ventana, predicciones_por_ventana in predicciones.items():
print(f"\nEvaluando '{variable}' para ventana: {ventana}")
# Obtener el último set de predicciones
last_start = max(predicciones_por_ventana.keys())
y_pred = predicciones_por_ventana[last_start][:len(test_series)]
# Calcular las métricas
mae = mean_absolute_error(test_series, y_pred)
mse = mean_squared_error(test_series, y_pred)
rmse = np.sqrt(mse)
mape = MAPE(test_series, y_pred)
r2 = r2_score(test_series, y_pred)
# Calcular residuos
residuals = test_series - y_pred
# Pruebas de hipótesis
ljung_box_p = acorr_ljungbox(residuals, lags=[10], return_df=True)['lb_pvalue'].values[0]
jarque_bera_p = jarque_bera(residuals)[1]
# Guardar resultados
resultados_metricas[ventana] = {
'MAE': mae,
'MSE': mse,
'RMSE': rmse,
'MAPE': mape,
'R2': r2,
'Ljung-Box p-value': ljung_box_p,
'Jarque-Bera p-value': jarque_bera_p
}
print(f" MAE: {mae:.4f}")
print(f" MSE: {mse:.4f}")
print(f" RMSE: {rmse:.4f}")
print(f" MAPE: {mape:.2f}%")
print(f" R^2: {r2:.4f}")
print(f" Ljung-Box p-value: {ljung_box_p:.4f}")
print(f" Jarque-Bera p-value: {jarque_bera_p:.4f}")
# Visualización
plt.figure(figsize=(14, 5))
# Serie de residuos
plt.subplot(1, 3, 1)
plt.plot(residuals)
plt.axhline(0, color='red', linestyle='--', lw=2)
plt.title('Serie de residuos')
plt.xlabel('Índice')
plt.ylabel('Residuos')
# QQ Plot
plt.subplot(1, 3, 2)
sm.qqplot(residuals, line='s', ax=plt.gca())
plt.title('QQ Plot')
# ACF de residuos
plt.subplot(1, 3, 3)
from statsmodels.graphics.tsaplots import plot_acf
plot_acf(residuals, lags=20, ax=plt.gca())
plt.title('ACF de residuos')
plt.tight_layout()
plt.show()
# Convertir resultados a DataFrame
df_resultados = pd.DataFrame.from_dict(resultados_metricas, orient='index')
return df_resultados
# Evaluar modelos para cada variable
resultados_price = evaluar_modelo('Price', predicciones_price, test_series_price)
resultados_volatilidad = evaluar_modelo('Volatilidad_14', predicciones_volatilidad, test_series_volatilidad)
resultados_at = evaluar_modelo('At', predicciones_at, test_series_at)
# Concatenar resultados en un solo DataFrame
resultados_finales = pd.concat([resultados_price, resultados_volatilidad, resultados_at], keys=['Price', 'Volatilidad_14', 'At'])
print(resultados_finales)
Evaluando 'Price' para ventana: 14
MAE: 0.1000
MSE: 0.0100
RMSE: 0.1000
MAPE: 100.00%
R^2: -51922968585348295380567383343104.0000
Ljung-Box p-value: 0.0000
Jarque-Bera p-value: nan
Evaluando 'Price' para ventana: 28
MAE: 0.1000
MSE: 0.0100
RMSE: 0.1000
MAPE: 100.00%
R^2: -51922968585348295380567383343104.0000
Ljung-Box p-value: 0.0000
Jarque-Bera p-value: nan
Evaluando 'Price' para ventana: 21
MAE: 0.1000
MSE: 0.0100
RMSE: 0.1000
MAPE: 100.00%
R^2: -51922968585348295380567383343104.0000
Ljung-Box p-value: 0.0000
Jarque-Bera p-value: nan
Evaluando 'Price' para ventana: 7
MAE: 0.1000
MSE: 0.0100
RMSE: 0.1000
MAPE: 100.00%
R^2: -51922968585348295380567383343104.0000
Ljung-Box p-value: 0.0000
Jarque-Bera p-value: nan
Evaluando 'Volatilidad_14' para ventana: 14
MAE: 0.0000
MSE: 0.0000
RMSE: 0.0000
MAPE: nan%
R^2: 1.0000
Ljung-Box p-value: nan
Jarque-Bera p-value: nan
Evaluando 'Volatilidad_14' para ventana: 28
MAE: 0.0000
MSE: 0.0000
RMSE: 0.0000
MAPE: nan%
R^2: 1.0000
Ljung-Box p-value: nan
Jarque-Bera p-value: nan
Evaluando 'Volatilidad_14' para ventana: 21
MAE: 0.0000
MSE: 0.0000
RMSE: 0.0000
MAPE: nan%
R^2: 1.0000
Ljung-Box p-value: nan
Jarque-Bera p-value: nan
Evaluando 'Volatilidad_14' para ventana: 7
MAE: 0.0000
MSE: 0.0000
RMSE: 0.0000
MAPE: nan%
R^2: 1.0000
Ljung-Box p-value: nan
Jarque-Bera p-value: nan
Evaluando 'At' para ventana: 14
MAE: 4.3230
MSE: 18.6881
RMSE: 4.3230
MAPE: 100.00%
R^2: 0.0000
Ljung-Box p-value: nan
Jarque-Bera p-value: nan
Evaluando 'At' para ventana: 28
MAE: 4.3230
MSE: 18.6881
RMSE: 4.3230
MAPE: 100.00%
R^2: 0.0000
Ljung-Box p-value: nan
Jarque-Bera p-value: nan
Evaluando 'At' para ventana: 21
MAE: 4.3230
MSE: 18.6881
RMSE: 4.3230
MAPE: 100.00%
R^2: 0.0000
Ljung-Box p-value: nan
Jarque-Bera p-value: nan
Evaluando 'At' para ventana: 7
MAE: 4.3230
MSE: 18.6881
RMSE: 4.3230
MAPE: 100.00%
R^2: 0.0000
Ljung-Box p-value: nan
Jarque-Bera p-value: nan
MAE MSE RMSE MAPE R2 \
Price 14 0.100000 0.01000 0.100000 100.0 -5.192297e+31
28 0.100000 0.01000 0.100000 100.0 -5.192297e+31
21 0.100000 0.01000 0.100000 100.0 -5.192297e+31
7 0.100000 0.01000 0.100000 100.0 -5.192297e+31
Volatilidad_14 14 0.000000 0.00000 0.000000 NaN 1.000000e+00
28 0.000000 0.00000 0.000000 NaN 1.000000e+00
21 0.000000 0.00000 0.000000 NaN 1.000000e+00
7 0.000000 0.00000 0.000000 NaN 1.000000e+00
At 14 4.322978 18.68814 4.322978 100.0 0.000000e+00
28 4.322978 18.68814 4.322978 100.0 0.000000e+00
21 4.322978 18.68814 4.322978 100.0 0.000000e+00
7 4.322978 18.68814 4.322978 100.0 0.000000e+00
Ljung-Box p-value Jarque-Bera p-value
Price 14 4.081193e-46 NaN
28 4.081193e-46 NaN
21 4.081193e-46 NaN
7 4.081193e-46 NaN
Volatilidad_14 14 NaN NaN
28 NaN NaN
21 NaN NaN
7 NaN NaN
At 14 NaN NaN
28 NaN NaN
21 NaN NaN
7 NaN NaN
import pandas as pd
import numpy as np
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.stats.diagnostic import acorr_ljungbox
# Función para calcular el MAPE
def MAPE(y_true, y_pred):
return np.mean(np.abs((y_true - y_pred) / y_true)) * 100
# Función para evaluar los modelos y construir la tabla de resultados
def evaluar_modelos_y_construir_tabla(predicciones_dict, test_series_dict):
resultados_tabla = []
for variable, predicciones in predicciones_dict.items():
test_series = test_series_dict[variable]
print(f"\nEvaluando la variable: {variable}") # Impresión para seguimiento
for ventana, predicciones_por_ventana in predicciones.items():
print(f"Evaluando para ventana: {ventana}")
# Obtener el último set de predicciones
last_start = max(predicciones_por_ventana.keys())
y_pred = predicciones_por_ventana[last_start][:len(test_series)]
# Imprimir la longitud de las series para verificar
print(f"Longitud de predicciones: {len(y_pred)}, Longitud de serie de prueba: {len(test_series)}")
# Verificar que y_pred tenga la longitud correcta
if len(y_pred) != len(test_series):
print(f"Error: La longitud de las predicciones ({len(y_pred)}) no coincide con la longitud de la serie de prueba ({len(test_series)})")
continue
# Calcular las métricas
mae = mean_absolute_error(test_series, y_pred)
mse = mean_squared_error(test_series, y_pred)
rmse = np.sqrt(mse)
mape = MAPE(test_series, y_pred)
r2 = r2_score(test_series, y_pred)
# Imprimir las métricas calculadas
print(f" MAE: {mae:.4f}, MSE: {mse:.4f}, RMSE: {rmse:.4f}, MAPE: {mape:.2f}%, R^2: {r2:.4f}")
# Calcular residuos y prueba de Ljung-Box
residuals = test_series - y_pred
ljung_box_result = acorr_ljungbox(residuals, lags=[10], return_df=True)
ljung_box_p = ljung_box_result['lb_pvalue'].values[0] if not ljung_box_result.empty else None
# Agregar resultados a la tabla
resultados_tabla.append({
'Variable': variable,
'Ventana': ventana,
'MAPE': mape,
'MAE': mae,
'RMSE': rmse,
'MSE': mse,
'R2': r2,
'Ljung-Box p-value': ljung_box_p
})
# Crear DataFrame con los resultados
df_resultados = pd.DataFrame(resultados_tabla)
return df_resultados
# Diccionario de predicciones y series de test
predicciones_dict = {
'Price': predicciones_price,
'Volatilidad_14': predicciones_volatilidad,
'At': predicciones_at
}
test_series_dict = {
'Price': test_series_price,
'Volatilidad_14': test_series_volatilidad,
'At': test_series_at
}
# Evaluar modelos y construir la tabla de resultados
resultados_finales = evaluar_modelos_y_construir_tabla(predicciones_dict, test_series_dict)
# Mostrar la tabla de resultados
if not resultados_finales.empty:
print(resultados_finales)
else:
print("No se generaron resultados.")
Evaluando la variable: Price
Evaluando para ventana: 14
Longitud de predicciones: 28, Longitud de serie de prueba: 28
MAE: 0.1000, MSE: 0.0100, RMSE: 0.1000, MAPE: 100.00%, R^2: -51922968585348295380567383343104.0000
Evaluando para ventana: 28
Longitud de predicciones: 28, Longitud de serie de prueba: 28
MAE: 0.1000, MSE: 0.0100, RMSE: 0.1000, MAPE: 100.00%, R^2: -51922968585348295380567383343104.0000
Evaluando para ventana: 21
Longitud de predicciones: 28, Longitud de serie de prueba: 28
MAE: 0.1000, MSE: 0.0100, RMSE: 0.1000, MAPE: 100.00%, R^2: -51922968585348295380567383343104.0000
Evaluando para ventana: 7
Longitud de predicciones: 28, Longitud de serie de prueba: 28
MAE: 0.1000, MSE: 0.0100, RMSE: 0.1000, MAPE: 100.00%, R^2: -51922968585348295380567383343104.0000
Evaluando la variable: Volatilidad_14
Evaluando para ventana: 14
Longitud de predicciones: 28, Longitud de serie de prueba: 28
MAE: 0.0000, MSE: 0.0000, RMSE: 0.0000, MAPE: nan%, R^2: 1.0000
Evaluando para ventana: 28
Longitud de predicciones: 28, Longitud de serie de prueba: 28
MAE: 0.0000, MSE: 0.0000, RMSE: 0.0000, MAPE: nan%, R^2: 1.0000
Evaluando para ventana: 21
Longitud de predicciones: 28, Longitud de serie de prueba: 28
MAE: 0.0000, MSE: 0.0000, RMSE: 0.0000, MAPE: nan%, R^2: 1.0000
Evaluando para ventana: 7
Longitud de predicciones: 28, Longitud de serie de prueba: 28
MAE: 0.0000, MSE: 0.0000, RMSE: 0.0000, MAPE: nan%, R^2: 1.0000
Evaluando la variable: At
Evaluando para ventana: 14
Longitud de predicciones: 28, Longitud de serie de prueba: 28
MAE: 4.3230, MSE: 18.6881, RMSE: 4.3230, MAPE: 100.00%, R^2: 0.0000
Evaluando para ventana: 28
Longitud de predicciones: 28, Longitud de serie de prueba: 28
MAE: 4.3230, MSE: 18.6881, RMSE: 4.3230, MAPE: 100.00%, R^2: 0.0000
Evaluando para ventana: 21
Longitud de predicciones: 28, Longitud de serie de prueba: 28
MAE: 4.3230, MSE: 18.6881, RMSE: 4.3230, MAPE: 100.00%, R^2: 0.0000
Evaluando para ventana: 7
Longitud de predicciones: 28, Longitud de serie de prueba: 28
MAE: 4.3230, MSE: 18.6881, RMSE: 4.3230, MAPE: 100.00%, R^2: 0.0000
Variable Ventana MAPE MAE RMSE MSE \
0 Price 14 100.0 0.100000 0.100000 0.01000
1 Price 28 100.0 0.100000 0.100000 0.01000
2 Price 21 100.0 0.100000 0.100000 0.01000
3 Price 7 100.0 0.100000 0.100000 0.01000
4 Volatilidad_14 14 NaN 0.000000 0.000000 0.00000
5 Volatilidad_14 28 NaN 0.000000 0.000000 0.00000
6 Volatilidad_14 21 NaN 0.000000 0.000000 0.00000
7 Volatilidad_14 7 NaN 0.000000 0.000000 0.00000
8 At 14 100.0 4.322978 4.322978 18.68814
9 At 28 100.0 4.322978 4.322978 18.68814
10 At 21 100.0 4.322978 4.322978 18.68814
11 At 7 100.0 4.322978 4.322978 18.68814
R2 Ljung-Box p-value
0 -5.192297e+31 4.081193e-46
1 -5.192297e+31 4.081193e-46
2 -5.192297e+31 4.081193e-46
3 -5.192297e+31 4.081193e-46
4 1.000000e+00 NaN
5 1.000000e+00 NaN
6 1.000000e+00 NaN
7 1.000000e+00 NaN
8 0.000000e+00 NaN
9 0.000000e+00 NaN
10 0.000000e+00 NaN
11 0.000000e+00 NaN
import pandas as pd
import numpy as np
from sklearn.metrics import mean_squared_error, mean_absolute_error, r2_score
from statsmodels.stats.diagnostic import acorr_ljungbox
# Función para calcular el MAPE
def MAPE(y_true, y_pred):
return np.mean(np.abs((y_true - y_pred) / y_true)) * 100
# Función para evaluar la variable "At"
def evaluar_variable_at(predicciones_at, test_series_at):
resultados_tabla = []
print("Evaluando la variable: At")
for ventana, predicciones_por_ventana in predicciones_at.items():
print(f"Evaluando para ventana: {ventana}")
# Obtener el último set de predicciones
last_start = max(predicciones_por_ventana.keys())
y_pred = predicciones_por_ventana[last_start][:len(test_series_at)]
# Imprimir la longitud de las series para verificar
print(f"Longitud de predicciones: {len(y_pred)}, Longitud de serie de prueba: {len(test_series_at)}")
# Verificar que y_pred tenga la longitud correcta
if len(y_pred) != len(test_series_at):
print(f"Error: La longitud de las predicciones ({len(y_pred)}) no coincide con la longitud de la serie de prueba ({len(test_series_at)})")
continue
# Calcular las métricas
mae = mean_absolute_error(test_series_at, y_pred)
mse = mean_squared_error(test_series_at, y_pred)
rmse = np.sqrt(mse)
mape = MAPE(test_series_at, y_pred)
r2 = r2_score(test_series_at, y_pred)
# Imprimir las métricas calculadas
print(f" MAE: {mae:.4f}, MSE: {mse:.4f}, RMSE: {rmse:.4f}, MAPE: {mape:.2f}%, R^2: {r2:.4f}")
# Calcular residuos y prueba de Ljung-Box
residuals = test_series_at - y_pred
ljung_box_result = acorr_ljungbox(residuals, lags=[10], return_df=True)
ljung_box_p = ljung_box_result['lb_pvalue'].values[0] if not ljung_box_result.empty else None
# Agregar resultados a la tabla
resultados_tabla.append({
'Variable': 'At',
'Ventana': ventana,
'MAPE': mape,
'MAE': mae,
'RMSE': rmse,
'MSE': mse,
'R2': r2,
'Ljung-Box p-value': ljung_box_p
})
# Crear DataFrame con los resultados
df_resultados = pd.DataFrame(resultados_tabla)
return df_resultados
# Evaluar solo la variable 'At'
resultados_at = evaluar_variable_at(predicciones_at, test_series_at)
# Mostrar la tabla de resultados para 'At'
if not resultados_at.empty:
print("\nResultados para 'At':")
print(resultados_at)
else:
print("No se generaron resultados para 'At'.")
Evaluando la variable: At
Evaluando para ventana: 14
Longitud de predicciones: 28, Longitud de serie de prueba: 28
MAE: 4.3230, MSE: 18.6881, RMSE: 4.3230, MAPE: 100.00%, R^2: 0.0000
Evaluando para ventana: 28
Longitud de predicciones: 28, Longitud de serie de prueba: 28
MAE: 4.3230, MSE: 18.6881, RMSE: 4.3230, MAPE: 100.00%, R^2: 0.0000
Evaluando para ventana: 21
Longitud de predicciones: 28, Longitud de serie de prueba: 28
MAE: 4.3230, MSE: 18.6881, RMSE: 4.3230, MAPE: 100.00%, R^2: 0.0000
Evaluando para ventana: 7
Longitud de predicciones: 28, Longitud de serie de prueba: 28
MAE: 4.3230, MSE: 18.6881, RMSE: 4.3230, MAPE: 100.00%, R^2: 0.0000
Resultados para 'At':
Variable Ventana MAPE MAE RMSE MSE R2 \
0 At 14 100.0 4.322978 4.322978 18.68814 0.0
1 At 28 100.0 4.322978 4.322978 18.68814 0.0
2 At 21 100.0 4.322978 4.322978 18.68814 0.0
3 At 7 100.0 4.322978 4.322978 18.68814 0.0
Ljung-Box p-value
0 NaN
1 NaN
2 NaN
3 NaN
Garch sin Rolling#
import pandas as pd
import numpy as np
from arch import arch_model
import warnings
# Suprimir warnings
warnings.filterwarnings("ignore")
# Parámetros generales
ventanas = [14, 28, 21, 7] # Ventanas para todas las variables
train_size = len(df) - 28 # Tamaño de entrenamiento
test_size = 28 # Tamaño de prueba
# Función para ajustar un modelo GARCH
def ajustar_garch(variable, ventana, train_series):
# Tomar la serie de entrenamiento con la ventana especificada
rolling_train_series = train_series.iloc[-ventana:] # Tomar los últimos 'ventana' puntos
# Ajustar el modelo GARCH(1,1)
model = arch_model(rolling_train_series, vol='Garch', p=1, q=1)
model_fit = model.fit(disp=False, tol=1e-4) # Ajustar el modelo
# Realizar predicciones
forecast = model_fit.forecast(horizon=test_size)
var_pred = forecast.variance.values[-1, :] # Predicciones de varianza
# Guardar resultados del modelo
return var_pred, model_fit.params, model_fit.loglikelihood, model_fit.aic, model_fit.bic
# Función para procesar cada variable
def procesar_variable(variable):
predicciones = {}
resultados_modelo = {}
# Tomar la serie de entrenamiento para cada variable
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
for ventana in ventanas:
# Ajustar GARCH para cada ventana y obtener resultados
var_pred, params, loglikelihood, aic, bic = ajustar_garch(variable, ventana, train_series)
# Almacenar predicciones y resultados del modelo
predicciones[ventana] = var_pred
resultados_modelo[ventana] = {
'params': params,
'loglikelihood': loglikelihood,
'aic': aic,
'bic': bic
}
return predicciones, resultados_modelo
# Procesar cada variable por separado
print("Procesando variable: Price")
predicciones_price, resultados_modelo_price = procesar_variable('Price')
print("Procesando variable: Volatilidad_14")
predicciones_volatilidad, resultados_modelo_volatilidad = procesar_variable('Volatilidad_14')
print("Procesando variable: At")
predicciones_at, resultados_modelo_at = procesar_variable('At')
# Imprimir o almacenar resultados finales por variable
print("Predicciones Price:", predicciones_price)
print("Resultados Modelo Price:", resultados_modelo_price)
print("Predicciones Volatilidad_14:", predicciones_volatilidad)
print("Resultados Modelo Volatilidad_14:", resultados_modelo_volatilidad)
print("Predicciones At:", predicciones_at)
print("Resultados Modelo At:", resultados_modelo_at)
Procesando variable: Price
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
Procesando variable: Volatilidad_14
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
Procesando variable: At
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
Predicciones Price: {14: array([1.92592994e-34, 1.92592994e-34, 1.92592994e-34, 1.92592994e-34,
1.92592994e-34, 1.92592994e-34, 1.92592994e-34, 1.92592994e-34,
1.92592994e-34, 1.92592994e-34, 1.92592994e-34, 1.92592994e-34,
1.92592994e-34, 1.92592994e-34, 1.92592994e-34, 1.92592994e-34,
1.92592994e-34, 1.92592994e-34, 1.92592994e-34, 1.92592994e-34,
1.92592994e-34, 1.92592994e-34, 1.92592994e-34, 1.92592994e-34,
1.92592994e-34, 1.92592994e-34, 1.92592994e-34, 1.92592994e-34]), 28: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 21: array([1.73333695e-33, 1.73333695e-33, 1.73333695e-33, 1.73333695e-33,
1.73333695e-33, 1.73333695e-33, 1.73333695e-33, 1.73333695e-33,
1.73333695e-33, 1.73333695e-33, 1.73333695e-33, 1.73333695e-33,
1.73333695e-33, 1.73333695e-33, 1.73333695e-33, 1.73333695e-33,
1.73333695e-33, 1.73333695e-33, 1.73333695e-33, 1.73333695e-33,
1.73333695e-33, 1.73333695e-33, 1.73333695e-33, 1.73333695e-33,
1.73333695e-33, 1.73333695e-33, 1.73333695e-33, 1.73333695e-33]), 7: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])}
Resultados Modelo Price: {14: {'params': mu 1.000000e-01
omega 9.629650e-35
alpha[1] 1.000000e-02
beta[1] 4.900000e-01
Name: params, dtype: float64, 'loglikelihood': 523.5622500941317, 'aic': -1039.1245001882635, 'bic': np.float64(-1036.5682708698025)}, 28: {'params': mu 0.10
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 21: {'params': mu 1.000000e-01
omega 8.666685e-34
alpha[1] 1.000000e-02
beta[1] 4.900000e-01
Name: params, dtype: float64, 'loglikelihood': 762.2725170791673, 'aic': -1516.5450341583346, 'bic': np.float64(-1512.366944407441)}, 7: {'params': mu 0.10
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}}
Predicciones Volatilidad_14: {14: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 28: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 21: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]), 7: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])}
Resultados Modelo Volatilidad_14: {14: {'params': mu 0.00
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 28: {'params': mu 0.00
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 21: {'params': mu 0.00
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}, 7: {'params': mu 0.00
omega 0.00
alpha[1] 0.01
beta[1] 0.49
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}}
Predicciones At: {14: array([7.88860905e-31, 7.88860905e-31, 7.88860905e-31, 7.88860905e-31,
7.88860905e-31, 7.88860905e-31, 7.88860905e-31, 7.88860905e-31,
7.88860905e-31, 7.88860905e-31, 7.88860905e-31, 7.88860905e-31,
7.88860905e-31, 7.88860905e-31, 7.88860905e-31, 7.88860905e-31,
7.88860905e-31, 7.88860905e-31, 7.88860905e-31, 7.88860905e-31,
7.88860905e-31, 7.88860905e-31, 7.88860905e-31, 7.88860905e-31,
7.88860905e-31, 7.88860905e-31, 7.88860905e-31, 7.88860905e-31]), 28: array([7.88860905e-31, 7.88860905e-31, 7.88860905e-31, 7.88860905e-31,
7.88860905e-31, 7.88860905e-31, 7.88860905e-31, 7.88860905e-31,
7.88860905e-31, 7.88860905e-31, 7.88860905e-31, 7.88860905e-31,
7.88860905e-31, 7.88860905e-31, 7.88860905e-31, 7.88860905e-31,
7.88860905e-31, 7.88860905e-31, 7.88860905e-31, 7.88860905e-31,
7.88860905e-31, 7.88860905e-31, 7.88860905e-31, 7.88860905e-31,
7.88860905e-31, 7.88860905e-31, 7.88860905e-31, 7.88860905e-31]), 21: array([3.15544362e-30, 3.15544362e-30, 3.15544362e-30, 3.15544362e-30,
3.15544362e-30, 3.15544362e-30, 3.15544362e-30, 3.15544362e-30,
3.15544362e-30, 3.15544362e-30, 3.15544362e-30, 3.15544362e-30,
3.15544362e-30, 3.15544362e-30, 3.15544362e-30, 3.15544362e-30,
3.15544362e-30, 3.15544362e-30, 3.15544362e-30, 3.15544362e-30,
3.15544362e-30, 3.15544362e-30, 3.15544362e-30, 3.15544362e-30,
3.15544362e-30, 3.15544362e-30, 3.15544362e-30, 3.15544362e-30]), 7: array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])}
Resultados Modelo At: {14: {'params': mu -4.322978e+00
omega 3.944305e-31
alpha[1] 1.000000e-02
beta[1] 4.900000e-01
Name: params, dtype: float64, 'loglikelihood': 465.3378869270963, 'aic': -922.6757738541926, 'bic': np.float64(-920.1195445357315)}, 28: {'params': mu -4.322978e+00
omega 3.944305e-31
alpha[1] 1.000000e-02
beta[1] 4.900000e-01
Name: params, dtype: float64, 'loglikelihood': 930.6757738541924, 'aic': -1853.3515477083847, 'bic': np.float64(-1848.022729667684)}, 21: {'params': mu -4.322978e+00
omega 1.577722e-30
alpha[1] 1.000000e-02
beta[1] 4.900000e-01
Name: params, dtype: float64, 'loglikelihood': 683.4507395988855, 'aic': -1358.901479197771, 'bic': np.float64(-1354.7233894468775)}, 7: {'params': mu -4.322978
omega 0.000000
alpha[1] 0.010000
beta[1] 0.490000
Name: params, dtype: float64, 'loglikelihood': nan, 'aic': nan, 'bic': np.float64(nan)}}
import pandas as pd
import numpy as np
from arch import arch_model
import warnings
# Suprimir warnings
warnings.filterwarnings("ignore")
# Parámetros generales
ventanas = [14, 28, 21, 7] # Ventanas para todas las variables
train_size = len(df) - 28 # Tamaño de entrenamiento
test_size = 28 # Tamaño de prueba
# Función para ajustar un modelo GARCH
def ajustar_garch(variable, ventana, train_series):
# Tomar la serie de entrenamiento con la ventana especificada
rolling_train_series = train_series.iloc[-ventana:] # Tomar los últimos 'ventana' puntos
# Ajustar el modelo GARCH(1,1)
model = arch_model(rolling_train_series, vol='Garch', p=1, q=1)
model_fit = model.fit(disp=False, tol=1e-4) # Ajustar el modelo
# Realizar predicciones
forecast = model_fit.forecast(horizon=test_size)
var_pred = forecast.variance.values[-1, :] # Predicciones de varianza
# Guardar resultados del modelo
return var_pred, model_fit.params, model_fit.loglikelihood, model_fit.aic, model_fit.bic
# Función para calcular métricas
def calcular_metricas(predicciones, reales):
n = len(reales)
# Evitar división por cero en MAPE
mape = np.mean(np.abs((reales - predicciones) / reales)) * 100 if np.all(reales != 0) else np.nan
mae = np.mean(np.abs(reales - predicciones))
rmse = np.sqrt(np.mean((reales - predicciones) ** 2))
mse = np.mean((reales - predicciones) ** 2)
# Calcular R²
ss_res = np.sum((reales - predicciones) ** 2)
ss_tot = np.sum((reales - np.mean(reales)) ** 2)
r2 = 1 - (ss_res / ss_tot) if ss_tot != 0 else np.nan
return mape, mae, rmse, mse, r2
# Función para procesar cada variable
def procesar_variable(variable):
predicciones = {}
resultados_modelo = {}
metricas_resultados = []
# Tomar la serie de entrenamiento para cada variable
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
# Tomar la serie de prueba
test_series = df[variable].iloc[train_size:].dropna().reset_index(drop=True)
for ventana in ventanas:
# Ajustar GARCH para cada ventana y obtener resultados
var_pred, params, loglikelihood, aic, bic = ajustar_garch(variable, ventana, train_series)
# Almacenar predicciones y resultados del modelo
predicciones[ventana] = var_pred
resultados_modelo[ventana] = {
'params': params,
'loglikelihood': loglikelihood,
'aic': aic,
'bic': bic
}
# Calcular métricas
mape, mae, rmse, mse, r2 = calcular_metricas(var_pred, test_series.values)
metricas_resultados.append({
'Variable': variable,
'Ventana': ventana,
'MAPE': mape,
'MAE': mae,
'RMSE': rmse,
'MSE': mse,
'R²': r2
})
return predicciones, resultados_modelo, metricas_resultados
# Procesar cada variable por separado
print("Procesando variable: Price")
predicciones_price, resultados_modelo_price, metricas_price = procesar_variable('Price')
print("Procesando variable: Volatilidad_14")
predicciones_volatilidad, resultados_modelo_volatilidad, metricas_volatilidad = procesar_variable('Volatilidad_14')
print("Procesando variable: At")
predicciones_at, resultados_modelo_at, metricas_at = procesar_variable('At')
# Combinar resultados en un DataFrame
resultados_metricas = pd.DataFrame(metricas_price + metricas_volatilidad + metricas_at)
# Imprimir o almacenar resultados finales por variable
print(resultados_metricas)
Procesando variable: Price
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
Procesando variable: Volatilidad_14
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
Procesando variable: At
Variable Ventana MAPE MAE RMSE MSE R²
0 Price 14 100.0 0.100000 0.100000 0.01000 -5.192297e+31
1 Price 28 100.0 0.100000 0.100000 0.01000 -5.192297e+31
2 Price 21 100.0 0.100000 0.100000 0.01000 -5.192297e+31
3 Price 7 100.0 0.100000 0.100000 0.01000 -5.192297e+31
4 Volatilidad_14 14 NaN 0.000000 0.000000 0.00000 NaN
5 Volatilidad_14 28 NaN 0.000000 0.000000 0.00000 NaN
6 Volatilidad_14 21 NaN 0.000000 0.000000 0.00000 NaN
7 Volatilidad_14 7 NaN 0.000000 0.000000 0.00000 NaN
8 At 14 100.0 4.322978 4.322978 18.68814 NaN
9 At 28 100.0 4.322978 4.322978 18.68814 NaN
10 At 21 100.0 4.322978 4.322978 18.68814 NaN
11 At 7 100.0 4.322978 4.322978 18.68814 NaN
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
import pandas as pd
import numpy as np
from arch import arch_model
from statsmodels.stats.diagnostic import acorr_ljungbox
from statsmodels.stats.stattools import jarque_bera
import matplotlib.pyplot as plt
import seaborn as sns
import warnings
# Suprimir warnings
warnings.filterwarnings("ignore")
# Parámetros generales
ventanas = [14, 28, 21, 7] # Ventanas para todas las variables
train_size = len(df) - 28 # Tamaño de entrenamiento
test_size = 28 # Tamaño de prueba
# Función para ajustar un modelo GARCH
def ajustar_garch(variable, train_series):
# Ajustar el modelo GARCH(1,1)
model = arch_model(train_series, vol='Garch', p=1, q=1)
model_fit = model.fit(disp=False, tol=1e-4) # Ajustar el modelo
# Obtener residuos
residuo = model_fit.resid
# Realizar predicciones (solo para referencia)
forecast = model_fit.forecast(horizon=test_size)
var_pred = forecast.variance.values[-1, :] # Predicciones de varianza
return residuo, model_fit
# Función para calcular métricas
def calcular_metricas(predicciones, reales):
n = len(reales)
# Evitar división por cero en MAPE
mape = np.mean(np.abs((reales - predicciones) / reales)) * 100 if np.all(reales != 0) else np.nan
mae = np.mean(np.abs(reales - predicciones))
rmse = np.sqrt(np.mean((reales - predicciones) ** 2))
mse = np.mean((reales - predicciones) ** 2)
# Calcular R²
ss_res = np.sum((reales - predicciones) ** 2)
ss_tot = np.sum((reales - np.mean(reales)) ** 2)
r2 = 1 - (ss_res / ss_tot) if ss_tot != 0 else np.nan
return mape, mae, rmse, mse, r2
# Función para procesar cada variable y calcular residuos
def procesar_variable(variable):
# Tomar la serie de entrenamiento para cada variable
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
# Ajustar GARCH y obtener residuos
residuo, model_fit = ajustar_garch(variable, train_series)
# Calcular métricas de residuos contra cero
mape, mae, rmse, mse, r2 = calcular_metricas(residuo, np.zeros(len(residuo)))
# Pruebas de hipótesis
ljung_box_results = acorr_ljungbox(residuo, lags=[10], return_df=True)
jarque_bera_results = jarque_bera(residuo)
# Crear dataframe para resultados
resultados_metricas = {
'MAPE': mape,
'MAE': mae,
'RMSE': rmse,
'MSE': mse,
'R²': r2,
'Ljung-Box test (p-value)': ljung_box_results['lb_pvalue'].iloc[0],
'Jarque-Bera (p-value)': jarque_bera_results[1],
}
# Crear tabla de resultados
resultados_df = pd.DataFrame([resultados_metricas])
# Graficar residuos, QQPlot y ACF
plt.figure(figsize=(15, 12))
# Serie de residuos
plt.subplot(3, 1, 1)
plt.plot(residuo)
plt.title(f'Serie de Residuos: {variable}')
# QQPlot
plt.subplot(3, 1, 2)
sns.set_style("whitegrid")
stats.probplot(residuo, dist="norm", plot=plt)
plt.title('QQPlot de Residuos')
# ACF de residuos
plt.subplot(3, 1, 3)
plt.acorr(residuo, maxlags=20)
plt.title('ACF de Residuos')
plt.tight_layout()
plt.show()
return resultados_df
# Procesar cada variable por separado
resultados_price = procesar_variable('Price')
resultados_volatilidad = procesar_variable('Volatilidad_14')
resultados_at = procesar_variable('At')
# Combinar resultados
resultados_completos = pd.concat([resultados_price, resultados_volatilidad, resultados_at], axis=0)
print(resultados_completos)
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
MAPE MAE RMSE MSE R² \
0 NaN 10623.110816 18948.751904 3.590552e+08 NaN
0 NaN 0.022875 0.044418 1.972921e-03 NaN
0 NaN 1.135355 1.487655 2.213117e+00 NaN
Ljung-Box test (p-value) Jarque-Bera (p-value)
0 0.0 0.000000e+00
0 0.0 0.000000e+00
0 0.0 1.968244e-63
import pandas as pd
import numpy as np
from arch import arch_model
from statsmodels.stats.diagnostic import acorr_ljungbox
import warnings
# Suprimir warnings
warnings.filterwarnings("ignore")
# Parámetros generales
ventanas = [14, 28, 21, 7] # Ventanas para todas las variables
train_size = len(df) - 28 # Tamaño de entrenamiento
test_size = 28 # Tamaño de prueba
# Función para ajustar un modelo GARCH
def ajustar_garch(variable, ventana, train_series):
rolling_train_series = train_series.iloc[-ventana:] # Tomar los últimos 'ventana' puntos
model = arch_model(rolling_train_series, vol='Garch', p=1, q=1)
model_fit = model.fit(disp=False, tol=1e-4) # Ajustar el modelo
forecast = model_fit.forecast(horizon=test_size)
var_pred = forecast.variance.values[-1, :] # Predicciones de varianza
return var_pred, model_fit.resid[-test_size:], model_fit.params, model_fit.loglikelihood, model_fit.aic, model_fit.bic
# Función para calcular métricas
def calcular_metricas(predicciones, reales):
n = len(reales)
# Evitar división por cero en MAPE
mape = np.mean(np.abs((reales - predicciones) / reales)) * 100 if np.all(reales != 0) else np.nan
mae = np.mean(np.abs(reales - predicciones))
rmse = np.sqrt(np.mean((reales - predicciones) ** 2))
mse = np.mean((reales - predicciones) ** 2)
# Calcular R²
ss_res = np.sum((reales - predicciones) ** 2)
ss_tot = np.sum((reales - np.mean(reales)) ** 2)
r2 = 1 - (ss_res / ss_tot) if ss_tot != 0 else np.nan
return mape, mae, rmse, mse, r2
# Función para procesar cada variable
def procesar_variable(variable):
metricas_resultados = []
train_series = df[variable].iloc[:train_size].dropna().reset_index(drop=True)
test_series = df[variable].iloc[train_size:].dropna().reset_index(drop=True)
for ventana in ventanas:
var_pred, residuo, params, loglikelihood, aic, bic = ajustar_garch(variable, ventana, train_series)
# Calcular métricas
mape, mae, rmse, mse, r2 = calcular_metricas(var_pred, test_series.values)
# Prueba de Ljung-Box
max_lags = min(10, len(residuo) - 1) # Asegurarse de que los lags sean menores que el tamaño de residuo
if max_lags > 0:
ljung_box_results = acorr_ljungbox(residuo, lags=[max_lags], return_df=True)
ljung_box_pvalue = ljung_box_results['lb_pvalue'].values[0]
else:
ljung_box_pvalue = np.nan # No hay suficientes datos para la prueba
metricas_resultados.append({
'Variable': variable,
'Ventana': ventana,
'MAPE': mape,
'MAE': mae,
'RMSE': rmse,
'MSE': mse,
'R²': r2,
'Ljung-Box p-value': ljung_box_pvalue
})
return metricas_resultados
# Procesar cada variable por separado
print("Procesando variable: Price")
metricas_price = procesar_variable('Price')
print("Procesando variable: Volatilidad_14")
metricas_volatilidad = procesar_variable('Volatilidad_14')
print("Procesando variable: At")
metricas_at = procesar_variable('At')
# Combinar resultados en un DataFrame
resultados_metricas = pd.DataFrame(metricas_price + metricas_volatilidad + metricas_at)
# Imprimir o almacenar resultados finales por variable
print(resultados_metricas)
Procesando variable: Price
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
Procesando variable: Volatilidad_14
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
Procesando variable: At
Variable Ventana MAPE MAE RMSE MSE \
0 Price 14 100.0 0.100000 0.100000 0.01000
1 Price 28 100.0 0.100000 0.100000 0.01000
2 Price 21 100.0 0.100000 0.100000 0.01000
3 Price 7 100.0 0.100000 0.100000 0.01000
4 Volatilidad_14 14 NaN 0.000000 0.000000 0.00000
5 Volatilidad_14 28 NaN 0.000000 0.000000 0.00000
6 Volatilidad_14 21 NaN 0.000000 0.000000 0.00000
7 Volatilidad_14 7 NaN 0.000000 0.000000 0.00000
8 At 14 100.0 4.322978 4.322978 18.68814
9 At 28 100.0 4.322978 4.322978 18.68814
10 At 21 100.0 4.322978 4.322978 18.68814
11 At 7 100.0 4.322978 4.322978 18.68814
R² Ljung-Box p-value
0 -5.192297e+31 NaN
1 -5.192297e+31 NaN
2 -5.192297e+31 NaN
3 -5.192297e+31 NaN
4 NaN NaN
5 NaN NaN
6 NaN NaN
7 NaN NaN
8 NaN NaN
9 NaN NaN
10 NaN NaN
11 NaN NaN
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\arch\univariate\base.py:766: ConvergenceWarning:
The optimizer returned code 4. The message is:
Inequality constraints incompatible
See scipy.optimize.fmin_slsqp for code meaning.
Modelos de Deep Learning#
import pandas as pd
import numpy as np
from statsmodels.graphics.tsaplots import plot_acf
import matplotlib.pyplot as plt
from statsmodels.api import qqplot
from statsmodels.tsa.stattools import acf
from statsmodels.stats.diagnostic import normal_ad
from scipy import stats
# Ruta del archivo CSV
BHdata = "C:\\Users\\Maestriadatos\\Documents\\lizcanollerenaparcial\\docs\\bitcoinhistoricaldata.csv"
# Cargar los datos
df = pd.read_csv(BHdata)
# Mostrar los primeros 5 registros para visualizar los datos
print("Primeros 5 registros:")
print(df.head())
# Mostrar la información de los tipos de datos
print("\nTipos de datos por columna:")
print(df.dtypes)
# Cargar el dataset
df = pd.read_csv(BHdata)
# Convertir la columna 'Date' a tipo datetime
df['Date'] = pd.to_datetime(df['Date'], format='%m/%d/%Y')
# Convertir las columnas 'Price', 'Open', 'High', 'Low' eliminando comas y convirtiendo a float
df['Price'] = pd.to_numeric(df['Price'].str.replace(',', ''), errors='coerce')
df['Open'] = pd.to_numeric(df['Open'].str.replace(',', ''), errors='coerce')
df['High'] = pd.to_numeric(df['High'].str.replace(',', ''), errors='coerce')
df['Low'] = pd.to_numeric(df['Low'].str.replace(',', ''), errors='coerce')
# Convertir la columna 'Vol.' eliminando comas, reemplazando 'K' por 'e3' y 'M' por 'e6', y luego convertir a numérico
df['Vol.'] = df['Vol.'].str.replace('K', 'e3').str.replace('M', 'e6').str.replace(',', '')
df['Vol.'] = pd.to_numeric(df['Vol.'], errors='coerce')
# Convertir la columna 'Change %' eliminando el símbolo '%' y convirtiendo a float
df['Change %'] = df['Change %'].str.replace('%', '').astype(float)
# Eliminar las filas con valores nulos en la columna 'Price'
df.dropna(subset=['Price'], inplace=True)
# Calcular el retorno diario Rt
df['Rt'] = (df['Price'] - df['Price'].shift(1)) / df['Price'].shift(1)
# Calcular el retorno acumulado diario At
df['At'] = df['Rt'].cumsum()
# Función para calcular la volatilidad usando ventanas móviles
def calcular_volatilidad(data, ventana):
"""
Esta función calcula la volatilidad (desviación estándar)
de los retornos diarios utilizando una ventana móvil.
"""
return data['Rt'].rolling(window=ventana).std()
# Calcular volatilidad para diferentes ventanas
ventanas = [7, 14, 21, 28]
for ventana in ventanas:
df[f'Volatilidad_{ventana}'] = calcular_volatilidad(df, ventana)
# Mostrar los primeros 10 registros con las nuevas columnas de volatilidad
print(df[['Date', 'At', 'Volatilidad_7', 'Volatilidad_14', 'Volatilidad_21', 'Volatilidad_28']].head(15))
# Dividir los datos en entrenamiento, validación y prueba (últimos 28 datos serán para validación)
train_size = len(df) - 28
test_size = 28
variables = ['Price', 'At', 'Volatilidad_7']
# Crear diccionarios para almacenar los conjuntos de entrenamiento y validación para cada variable
train_data = {}
validation_data = {}
for var in variables:
train_data[var] = df[var].iloc[:train_size].reset_index(drop=True) # Resetear los índices
validation_data[var] = df[var].iloc[-test_size:].reset_index(drop=True)
Primeros 5 registros:
Date Price Open High Low Vol. Change %
0 03/24/2024 67,211.9 64,036.5 67,587.8 63,812.9 65.59K 4.96%
1 03/23/2024 64,037.8 63,785.6 65,972.4 63,074.9 35.11K 0.40%
2 03/22/2024 63,785.5 65,501.5 66,633.3 62,328.3 72.43K -2.62%
3 03/21/2024 65,503.8 67,860.0 68,161.7 64,616.1 75.26K -3.46%
4 03/20/2024 67,854.0 62,046.8 68,029.5 60,850.9 133.53K 9.35%
Tipos de datos por columna:
Date object
Price object
Open object
High object
Low object
Vol. object
Change % object
dtype: object
Date At Volatilidad_7 Volatilidad_14 Volatilidad_21 \
0 2024-03-24 NaN NaN NaN NaN
1 2024-03-23 -0.047225 NaN NaN NaN
2 2024-03-22 -0.051165 NaN NaN NaN
3 2024-03-21 -0.024226 NaN NaN NaN
4 2024-03-20 0.011652 NaN NaN NaN
5 2024-03-19 -0.073884 NaN NaN NaN
6 2024-03-18 0.015465 NaN NaN NaN
7 2024-03-17 0.027257 0.057142 NaN NaN
8 2024-03-16 -0.017734 0.056814 NaN NaN
9 2024-03-15 0.045797 0.060785 NaN NaN
10 2024-03-14 0.073492 0.060813 NaN NaN
11 2024-03-13 0.097009 0.060247 NaN NaN
12 2024-03-12 0.075165 0.046199 NaN NaN
13 2024-03-11 0.083964 0.035128 NaN NaN
14 2024-03-10 0.040492 0.040414 0.04756 NaN
Volatilidad_28
0 NaN
1 NaN
2 NaN
3 NaN
4 NaN
5 NaN
6 NaN
7 NaN
8 NaN
9 NaN
10 NaN
11 NaN
12 NaN
13 NaN
14 NaN
import numpy as np
from sklearn.model_selection import train_test_split
from sklearn.metrics import mean_squared_error
from tensorflow.keras.models import Sequential
from tensorflow.keras.layers import Dense, Dropout
from tensorflow.keras.optimizers import Adam
# Definir función para crear el modelo MLP con hiperparámetros configurables
def crear_modelo_mlp(n_neuronas, dropout):
modelo = Sequential()
modelo.add(Dense(n_neuronas, activation='relu', input_shape=(ventana_fija,)))
modelo.add(Dropout(dropout))
modelo.add(Dense(1)) # Salida de una neurona para predecir el promedio de los 7 días
modelo.compile(optimizer=Adam(), loss='mse')
return modelo
# Parámetros de la ventana y horizonte de predicción
ventana_fija = 31 # Días históricos para predecir
horizonte = 7 # Días a predecir
# Variables, hiperparámetros y datos a probar
variables = ['Price', 'At', 'Volatilidad_7']
n_neuronas_lista = [10, 100, 1000, 10000]
dropout_lista = [0.2, 0.4, 0.6, 0.8]
batch_sizes = [16, 32, 64, 128]
# Selección de hiperparámetros para cada variable
mejores_hiperparametros = {}
for variable in variables:
# Extraer los datos de la variable y crear X, y para entrenamiento y validación
datos_variable = df[variable].values
X, y = [], []
# Construir conjuntos de datos con ventana fija
for i in range(len(datos_variable) - ventana_fija - horizonte + 1):
X.append(datos_variable[i:i + ventana_fija])
y.append(datos_variable[i + ventana_fija:i + ventana_fija + horizonte].mean()) # Promedio de los 7 días
X, y = np.array(X), np.array(y)
X_train, X_val, y_train, y_val = train_test_split(X, y, test_size=0.2, shuffle=False)
mejor_mse = float("inf")
mejor_config = None
# Probar combinaciones de hiperparámetros
for n_neuronas in n_neuronas_lista:
for dropout in dropout_lista:
for batch_size in batch_sizes:
# Crear y entrenar el modelo
modelo = crear_modelo_mlp(n_neuronas, dropout)
modelo.fit(X_train, y_train, epochs=10, batch_size=batch_size, verbose=0)
# Validar el modelo
y_pred = modelo.predict(X_val)
mse = mean_squared_error(y_val, y_pred)
# Guardar la mejor configuración
if mse < mejor_mse:
mejor_mse = mse
mejor_config = {
'n_neuronas': n_neuronas,
'dropout': dropout,
'batch_size': batch_size,
'mse': mejor_mse
}
mejores_hiperparametros[variable] = mejor_config
print(f"Mejores hiperparámetros para {variable}: {mejor_config}")
print("Configuración final de hiperparámetros para cada variable:", mejores_hiperparametros)
32/32 ━━━━━━━━━━━━━━━━━━━━ 1s 17ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 14ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 13ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 11ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 11ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 1s 14ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 1s 15ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 13ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 12ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 1s 14ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
Mejores hiperparámetros para Price: {'n_neuronas': 1000, 'dropout': 0.4, 'batch_size': 128, 'mse': np.float64(25.410891951670653)}
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 1s 16ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 1s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 13ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 1s 16ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 1s 21ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 1s 14ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 12ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 1s 10ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 11ms/step
Mejores hiperparámetros para At: {'n_neuronas': 10, 'dropout': 0.4, 'batch_size': 16, 'mse': np.float64(5.0889081867482755)}
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 1s 17ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 12ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 12ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 1s 16ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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Mejores hiperparámetros para Volatilidad_7: {'n_neuronas': 10000, 'dropout': 0.6, 'batch_size': 16, 'mse': np.float64(0.004207480846229657)}
Configuración final de hiperparámetros para cada variable: {'Price': {'n_neuronas': 1000, 'dropout': 0.4, 'batch_size': 128, 'mse': np.float64(25.410891951670653)}, 'At': {'n_neuronas': 10, 'dropout': 0.4, 'batch_size': 16, 'mse': np.float64(5.0889081867482755)}, 'Volatilidad_7': {'n_neuronas': 10000, 'dropout': 0.6, 'batch_size': 16, 'mse': np.float64(0.004207480846229657)}}
import numpy as np
from tensorflow.keras.models import Sequential
from tensorflow.keras.layers import Dense, Dropout
from tensorflow.keras.optimizers import Adam
# Hiperparámetros seleccionados
mejores_hiperparametros = {
'Price': {'n_neuronas': 1000, 'dropout': 0.4, 'batch_size': 128},
'At': {'n_neuronas': 10, 'dropout': 0.4, 'batch_size': 16},
'Volatilidad_7': {'n_neuronas': 10000, 'dropout': 0.6, 'batch_size': 16}
}
# Función para construir el modelo MLP con salida para horizonte completo
def crear_modelo_mlp(n_neuronas, dropout, horizonte):
modelo = Sequential()
modelo.add(Dense(n_neuronas, activation='relu', input_shape=(ventana,)))
modelo.add(Dropout(dropout))
modelo.add(Dense(horizonte)) # Salida de horizonte completo
modelo.compile(optimizer=Adam(), loss='mse')
return modelo
# Función para dividir los datos en pliegues
def crear_pliegues(datos, ventana, horizonte):
X, y = [], []
for i in range(len(datos) - ventana - horizonte + 1):
X.append(datos[i:i + ventana])
y.append(datos[i + ventana:i + ventana + horizonte]) # horizonte multivariado
return np.array(X), np.array(y)
# Función de predicción y evaluación del horizonte completo
def prediccion_y_residuos(variable, X_train, y_train, X_val, y_val, X_test, y_test, hiperparametros, horizonte):
n_neuronas = hiperparametros['n_neuronas']
dropout = hiperparametros['dropout']
batch_size = hiperparametros['batch_size']
modelo = crear_modelo_mlp(n_neuronas, dropout, horizonte)
modelo.fit(X_train, y_train, epochs=5, batch_size=batch_size, verbose=0) # Épocas reducidas para prueba
# Predicción para conjuntos de entrenamiento, validación y prueba
y_pred_train = modelo.predict(X_train)
y_pred_val = modelo.predict(X_val)
y_pred_test = modelo.predict(X_test)
# Calcular residuos (errores) para cada conjunto
residuos_train = y_train - y_pred_train
residuos_val = y_val - y_pred_val
residuos_test = y_test - y_pred_test
# Calcular el promedio de los residuos absolutos
residuo_prom_train = np.mean(np.abs(residuos_train))
residuo_prom_val = np.mean(np.abs(residuos_val))
residuo_prom_test = np.mean(np.abs(residuos_test))
return residuo_prom_train, residuo_prom_val, residuo_prom_test
# Aplicación para cada variable, ventana y horizonte
ventanas = [7, 14, 21, 28]
horizontes = [7, 14, 21, 28]
resultados = {}
for variable in mejores_hiperparametros.keys():
print(f"\n\nVariable: {variable}")
resultados[variable] = {}
datos_variable = df[variable].values # Obtener datos de la variable
for ventana in ventanas:
print(f"\nVentana: {ventana}")
residuo_prom_train_total, residuo_prom_val_total, residuo_prom_test_total = 0, 0, 0
contador_modelos = 0
for horizonte in horizontes:
# Crear pliegues
X, y = crear_pliegues(datos_variable, ventana, horizonte)
train_size = int(0.6 * len(X))
val_size = int(0.2 * len(X))
X_train, y_train = X[:train_size], y[:train_size]
X_val, y_val = X[train_size:train_size + val_size], y[train_size:train_size + val_size]
X_test, y_test = X[train_size + val_size:], y[train_size + val_size:]
# Obtener residuos para el horizonte completo
residuo_prom_train, residuo_prom_val, residuo_prom_test = prediccion_y_residuos(
variable, X_train, y_train, X_val, y_val, X_test, y_test,
mejores_hiperparametros[variable], horizonte
)
# Sumar residuos de cada modelo
residuo_prom_train_total += residuo_prom_train
residuo_prom_val_total += residuo_prom_val
residuo_prom_test_total += residuo_prom_test
contador_modelos += 1
# Promediar residuos para la ventana actual
residuo_train_prom = residuo_prom_train_total / contador_modelos
residuo_val_prom = residuo_prom_val_total / contador_modelos
residuo_test_prom = residuo_prom_test_total / contador_modelos
# Guardar promedios de residuos en el diccionario de resultados
resultados[variable][ventana] = {
'residuo_train_prom': residuo_train_prom,
'residuo_val_prom': residuo_val_prom,
'residuo_test_prom': residuo_test_prom
}
# Mostrar resultados finales
for variable, ventanas_result in resultados.items():
print(f"\nResultados para la variable: {variable}")
for ventana, residuos in ventanas_result.items():
print(f"Ventana: {ventana} - Residuo Entrenamiento Promedio: {residuos['residuo_train_prom']}, "
f"Residuo Validación Promedio: {residuos['residuo_val_prom']}, "
f"Residuo Prueba Promedio: {residuos['residuo_test_prom']}")
Variable: Price
Ventana: 7
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
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Ventana: 14
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Ventana: 21
94/94 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
94/94 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
93/93 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
93/93 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
Ventana: 28
94/94 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
93/93 ━━━━━━━━━━━━━━━━━━━━ 1s 5ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
93/93 ━━━━━━━━━━━━━━━━━━━━ 1s 8ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
93/93 ━━━━━━━━━━━━━━━━━━━━ 1s 5ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
Variable: At
Ventana: 7
94/94 ━━━━━━━━━━━━━━━━━━━━ 1s 5ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
94/94 ━━━━━━━━━━━━━━━━━━━━ 1s 8ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
94/94 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
94/94 ━━━━━━━━━━━━━━━━━━━━ 1s 5ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 2ms/step
Ventana: 14
94/94 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 2ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
94/94 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
94/94 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
93/93 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
Ventana: 21
94/94 ━━━━━━━━━━━━━━━━━━━━ 1s 5ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 1s 16ms/step
94/94 ━━━━━━━━━━━━━━━━━━━━ 1s 7ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
93/93 ━━━━━━━━━━━━━━━━━━━━ 1s 5ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
93/93 ━━━━━━━━━━━━━━━━━━━━ 1s 5ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
Ventana: 28
94/94 ━━━━━━━━━━━━━━━━━━━━ 1s 6ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
93/93 ━━━━━━━━━━━━━━━━━━━━ 1s 6ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 3ms/step
93/93 ━━━━━━━━━━━━━━━━━━━━ 1s 6ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
93/93 ━━━━━━━━━━━━━━━━━━━━ 1s 6ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 12ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
Variable: Volatilidad_7
Ventana: 7
94/94 ━━━━━━━━━━━━━━━━━━━━ 1s 8ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
94/94 ━━━━━━━━━━━━━━━━━━━━ 1s 9ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
94/94 ━━━━━━━━━━━━━━━━━━━━ 1s 9ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
94/94 ━━━━━━━━━━━━━━━━━━━━ 2s 20ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
Ventana: 14
94/94 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
94/94 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
94/94 ━━━━━━━━━━━━━━━━━━━━ 1s 6ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
93/93 ━━━━━━━━━━━━━━━━━━━━ 1s 5ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
Ventana: 21
94/94 ━━━━━━━━━━━━━━━━━━━━ 1s 12ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 4ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
94/94 ━━━━━━━━━━━━━━━━━━━━ 1s 6ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
93/93 ━━━━━━━━━━━━━━━━━━━━ 1s 8ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
93/93 ━━━━━━━━━━━━━━━━━━━━ 1s 8ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
Ventana: 28
94/94 ━━━━━━━━━━━━━━━━━━━━ 1s 6ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
93/93 ━━━━━━━━━━━━━━━━━━━━ 1s 10ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
93/93 ━━━━━━━━━━━━━━━━━━━━ 1s 7ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 5ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 6ms/step
93/93 ━━━━━━━━━━━━━━━━━━━━ 1s 11ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
Resultados para la variable: Price
Ventana: 7 - Residuo Entrenamiento Promedio: 1610.1909788668954, Residuo Validación Promedio: 52.827250747649785, Residuo Prueba Promedio: 2.7274123714146588
Ventana: 14 - Residuo Entrenamiento Promedio: 1762.022555760575, Residuo Validación Promedio: 58.82563792049166, Residuo Prueba Promedio: 3.0056119258711913
Ventana: 21 - Residuo Entrenamiento Promedio: 1870.4756709697654, Residuo Validación Promedio: 62.47830837219894, Residuo Prueba Promedio: 3.0907477443280675
Ventana: 28 - Residuo Entrenamiento Promedio: 1829.5462708243701, Residuo Validación Promedio: 62.17102429526584, Residuo Prueba Promedio: 3.1077070181106965
Resultados para la variable: At
Ventana: 7 - Residuo Entrenamiento Promedio: 0.664265482643878, Residuo Validación Promedio: 1.7134146231705525, Residuo Prueba Promedio: 2.69048641394245
Ventana: 14 - Residuo Entrenamiento Promedio: 0.6671626459034224, Residuo Validación Promedio: 1.7143784078624058, Residuo Prueba Promedio: 2.6979785471536863
Ventana: 21 - Residuo Entrenamiento Promedio: 0.6703452139318083, Residuo Validación Promedio: 1.713877629922703, Residuo Prueba Promedio: 2.7047614970543585
Ventana: 28 - Residuo Entrenamiento Promedio: 0.6687613004757827, Residuo Validación Promedio: 1.7021172385726093, Residuo Prueba Promedio: 2.6966886472919063
Resultados para la variable: Volatilidad_7
Ventana: 7 - Residuo Entrenamiento Promedio: 0.015006868389248532, Residuo Validación Promedio: 0.026244808493194133, Residuo Prueba Promedio: 0.04528991650825672
Ventana: 14 - Residuo Entrenamiento Promedio: 0.014929900753398418, Residuo Validación Promedio: 0.026310014762218743, Residuo Prueba Promedio: 0.04522238142915577
Ventana: 21 - Residuo Entrenamiento Promedio: 0.015130280861962156, Residuo Validación Promedio: 0.026607106516682893, Residuo Prueba Promedio: 0.04503461203635527
Ventana: 28 - Residuo Entrenamiento Promedio: 0.015112044344805828, Residuo Validación Promedio: 0.026751000084215833, Residuo Prueba Promedio: 0.0449250185291906
import numpy as np
from tensorflow.keras.models import Sequential
from tensorflow.keras.layers import Dense, Dropout
from tensorflow.keras.optimizers import Adam
from sklearn.metrics import mean_absolute_error, mean_squared_error, r2_score
# Hiperparámetros seleccionados
mejores_hiperparametros = {
'Price': {'n_neuronas': 1000, 'dropout': 0.4, 'batch_size': 128},
'At': {'n_neuronas': 10, 'dropout': 0.4, 'batch_size': 16},
'Volatilidad_7': {'n_neuronas': 10000, 'dropout': 0.6, 'batch_size': 16}
}
# Función para construir el modelo MLP con salida para horizonte completo
def crear_modelo_mlp(n_neuronas, dropout, horizonte):
modelo = Sequential()
modelo.add(Dense(n_neuronas, activation='relu', input_shape=(ventana,)))
modelo.add(Dropout(dropout))
modelo.add(Dense(horizonte)) # Salida de horizonte completo
modelo.compile(optimizer=Adam(), loss='mse')
return modelo
# Función para dividir los datos en pliegues
def crear_pliegues(datos, ventana, horizonte):
X, y = [], []
for i in range(len(datos) - ventana - horizonte + 1):
X.append(datos[i:i + ventana])
y.append(datos[i + ventana:i + ventana + horizonte]) # Horizonte multivariado
return np.array(X), np.array(y)
# Función de predicción y evaluación de métricas en el conjunto de validación
def evaluar_validacion(variable, X_train, y_train, X_val, y_val, hiperparametros, horizonte):
n_neuronas = hiperparametros['n_neuronas']
dropout = hiperparametros['dropout']
batch_size = hiperparametros['batch_size']
modelo = crear_modelo_mlp(n_neuronas, dropout, horizonte)
modelo.fit(X_train, y_train, epochs=5, batch_size=batch_size, verbose=0) # Épocas reducidas para prueba
# Predicción para el conjunto de validación
y_pred_val = modelo.predict(X_val)
# Cálculo de métricas
mae = mean_absolute_error(y_val, y_pred_val)
mse = mean_squared_error(y_val, y_pred_val)
rmse = np.sqrt(mse)
mape = np.mean(np.abs((y_val - y_pred_val) / y_val)) * 100
r2 = r2_score(y_val, y_pred_val)
return mae, mse, rmse, mape, r2
# Aplicación para cada variable, ventana y horizonte
ventanas = [7, 14, 21, 28]
horizontes = [7, 14, 21, 28]
resultados = {}
for variable in mejores_hiperparametros.keys():
print(f"\n\nVariable: {variable}")
resultados[variable] = {}
datos_variable = df[variable].values # Obtener datos de la variable
for ventana in ventanas:
print(f"\nVentana: {ventana}")
mae_total, mse_total, rmse_total, mape_total, r2_total = 0, 0, 0, 0, 0
contador_modelos = 0
for horizonte in horizontes:
# Crear pliegues
X, y = crear_pliegues(datos_variable, ventana, horizonte)
train_size = int(0.6 * len(X))
val_size = int(0.2 * len(X))
X_train, y_train = X[:train_size], y[:train_size]
X_val, y_val = X[train_size:train_size + val_size], y[train_size:train_size + val_size]
# Evaluar y obtener métricas del conjunto de validación
mae, mse, rmse, mape, r2 = evaluar_validacion(
variable, X_train, y_train, X_val, y_val,
mejores_hiperparametros[variable], horizonte
)
# Sumar métricas de cada modelo
mae_total += mae
mse_total += mse
rmse_total += rmse
mape_total += mape
r2_total += r2
contador_modelos += 1
# Promediar métricas para la ventana actual
mae_prom = mae_total / contador_modelos
mse_prom = mse_total / contador_modelos
rmse_prom = rmse_total / contador_modelos
mape_prom = mape_total / contador_modelos
r2_prom = r2_total / contador_modelos
# Guardar promedios de métricas en el diccionario de resultados
resultados[variable][ventana] = {
'MAE': mae_prom,
'MSE': mse_prom,
'RMSE': rmse_prom,
'MAPE': mape_prom,
'R2': r2_prom
}
# Mostrar resultados finales
for variable, ventanas_result in resultados.items():
print(f"\nResultados para la variable: {variable}")
for ventana, metricas in ventanas_result.items():
print(f"Ventana: {ventana} - MAE: {metricas['MAE']}, MSE: {metricas['MSE']}, RMSE: {metricas['RMSE']}, "
f"MAPE: {metricas['MAPE']}%, R2: {metricas['R2']}")
Variable: Price
Ventana: 7
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
Ventana: 14
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
Ventana: 21
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
Ventana: 28
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
Variable: At
Ventana: 7
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
Ventana: 14
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
Ventana: 21
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
Ventana: 28
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 7ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 8ms/step
Variable: Volatilidad_7
Ventana: 7
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 13ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 12ms/step
Ventana: 14
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 12ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 9ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 1s 13ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 11ms/step
Ventana: 21
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 11ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 1s 14ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 11ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
Ventana: 28
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
32/32 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 10ms/step
c:\Users\Maestriadatos\miniconda3\envs\ml_venv\lib\site-packages\keras\src\layers\core\dense.py:87: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.
super().__init__(activity_regularizer=activity_regularizer, **kwargs)
31/31 ━━━━━━━━━━━━━━━━━━━━ 0s 13ms/step
Resultados para la variable: Price
Ventana: 7 - MAE: 52.429749256805735, MSE: 11636.034029115419, RMSE: 105.98636377844994, MAPE: 14.50207370825553%, R2: 0.7629643583702872
Ventana: 14 - MAE: 57.66290372750589, MSE: 13000.27787048967, RMSE: 112.75753649598043, MAPE: 16.06071361974621%, R2: 0.7357168064299013
Ventana: 21 - MAE: 62.39725035232689, MSE: 14034.45345200479, RMSE: 117.62707757320317, MAPE: 17.37289177197477%, R2: 0.7153370063230329
Ventana: 28 - MAE: 59.902540868845215, MSE: 13955.196555078028, RMSE: 116.82326363187049, MAPE: 17.19049822894336%, R2: 0.7176836697180635
Resultados para la variable: At
Ventana: 7 - MAE: 1.703477854850643, MSE: 3.5677825098832603, RMSE: 1.8888306660431107, MAPE: 125.93242977008296%, R2: -1.9417580422761083
Ventana: 14 - MAE: 1.705288764108054, MSE: 3.5800668927600547, RMSE: 1.8920334080053047, MAPE: 125.72276075950955%, R2: -1.9461564006100533
Ventana: 21 - MAE: 1.700505413105176, MSE: 3.5644926827365255, RMSE: 1.887888184114564, MAPE: 125.817144438323%, R2: -1.9265419323995627
Ventana: 28 - MAE: 1.7026290859536728, MSE: 3.575909955576291, RMSE: 1.8909664045884558, MAPE: 125.54659700252527%, R2: -1.9287341585313797
Resultados para la variable: Volatilidad_7
Ventana: 7 - MAE: 0.026275983314973637, MSE: 0.004331239618520272, RMSE: 0.06581213250711111, MAPE: 65.5492258174744%, R2: -0.03889559082866546
Ventana: 14 - MAE: 0.026409927712967667, MSE: 0.00435453315331258, RMSE: 0.06598886307370153, MAPE: 65.48591408976472%, R2: -0.040019866508773656
Ventana: 21 - MAE: 0.02661378641224816, MSE: 0.004376262492516893, RMSE: 0.06615273388513473, MAPE: 66.07946820181526%, R2: -0.03937564873544348
Ventana: 28 - MAE: 0.026750241102813953, MSE: 0.004408690556390705, RMSE: 0.06639728390954784, MAPE: 65.65798553383149%, R2: -0.04098488679360599
Deep learning 2#
# import ipdb
def create_windows(ts, window_size, train_steps, validation_steps, test_steps):
#ipdb.set_trace()
segment_size_ = window_size + train_steps + validation_steps + test_steps
start = (len(ts)//segment_size_) * segment_size_
ts0 = ts[-start:]
Xtrains, ytrains, Xvalids, yvalids, Xtests, ytests = [], [], [], [], [], []
i = 0
while (len(ts0) - i + 1) >= segment_size_:
X, y = [], []
for _ in range(train_steps):
X.append(ts0[i:i + window_size])
y.append(ts0[i + window_size])
i += 1
Xtrains.append(X)
ytrains.append(y)
X, y = [], []
for _ in range(validation_steps):
X.append(ts0[i:i + window_size])
y.append(ts0[i + window_size])
i += 1
Xvalids.append(X)
yvalids.append(y)
X, y = [], []
for _ in range(test_steps):
X.append(ts0[i:i + window_size])
y.append(ts0[i + window_size])
i += 1
Xtests.append(X)
ytests.append(y)
return np.array(Xtrains), np.array(ytrains), np.array(Xvalids), np.array(yvalids), np.array(Xtests), np.array(ytests)
import matplotlib.pyplot as plt
import numpy as np
# Definir las combinaciones de tamaños de ventana y tamaños de paso de entrenamiento
window_sizes = [7, 14, 21, 28]
training_step_sizes = [7, 14, 21, 28]
validation_steps = 14
test_steps = 14
# Inicializar el gráfico
fig, ax = plt.subplots(figsize=(12, 8))
# Configurar parámetros de estilo para los pliegues
train_color = 'red'
val_color = 'blue'
test_color = 'green'
# Coordenadas iniciales
y_offset = 0
for window_size in window_sizes:
for train_steps in training_step_sizes:
# Coordenadas de inicio y final para los segmentos
train_start = 0
train_end = train_steps
val_start = train_end
val_end = val_start + validation_steps
test_start = val_end
test_end = test_start + test_steps
# Graficar pliegues de entrenamiento, validación y prueba
ax.plot(range(train_start, train_end), [y_offset] * (train_end - train_start), color=train_color, linewidth=2, label='Train' if y_offset == 0 else "")
ax.plot(range(val_start, val_end), [y_offset] * (val_end - val_start), color=val_color, linewidth=2, label='Validation' if y_offset == 0 else "")
ax.plot(range(test_start, test_end), [y_offset] * (test_end - test_start), color=test_color, linewidth=2, label='Test' if y_offset == 0 else "")
# Etiquetas con dimensiones
ax.text(train_start + (train_end - train_start) / 2, y_offset + 0.2, f"dim(X_train) = ({train_steps}, {window_size})", ha='center', color=train_color, fontsize=9)
ax.text(val_start + (val_end - val_start) / 2, y_offset + 0.2, f"dim(X_val) = ({validation_steps}, {window_size})", ha='center', color=val_color, fontsize=9)
ax.text(test_start + (test_end - test_start) / 2, y_offset + 0.2, f"dim(X_test) = ({test_steps}, {window_size})", ha='center', color=test_color, fontsize=9)
# Incrementar el offset vertical para el siguiente grupo
y_offset -= 1
# Configurar los ejes y leyenda
ax.set_xlabel('Time Index')
ax.set_yticks([])
ax.legend(loc='upper right')
ax.set_title("Visualización de Pliegues para Diferentes Tamaños de Ventana y Paso de Entrenamiento")
plt.show()
import numpy as np
import matplotlib.pyplot as plt
def visualize_windows(ts, window_size, train_steps, validation_steps, test_steps):
# Calcular el tamaño del segmento
segment_size_ = window_size + train_steps + validation_steps + test_steps
# Definir el punto de inicio para cortar la serie temporal
start = (len(ts) // segment_size_) * segment_size_
ts0 = ts[-start:]
fig, ax = plt.subplots(figsize=(12, 6))
# Graficar toda la serie temporal
ax.plot(range(len(ts)), ts, label='Serie Temporal Completa', color='lightgray')
# Indicar el conjunto de entrenamiento, validación y prueba
colors = {'train': 'blue', 'validation': 'orange', 'test': 'green'}
i = 0
count = 0
while (len(ts0) - i + 1) >= segment_size_:
# Ventanas de entrenamiento
for step in range(train_steps):
x_range = range(i, i + window_size)
ax.plot(x_range, ts0[i:i + window_size], color=colors['train'], label='Entrenamiento' if count == 0 else "")
i += 1
# Ventanas de validación
for step in range(validation_steps):
x_range = range(i, i + window_size)
ax.plot(x_range, ts0[i:i + window_size], color=colors['validation'], label='Validación' if count == 0 else "")
i += 1
# Ventanas de prueba
for step in range(test_steps):
x_range = range(i, i + window_size)
ax.plot(x_range, ts0[i:i + window_size], color=colors['test'], label='Prueba' if count == 0 else "")
i += 1
count += 1
# Añadir leyenda y título
ax.legend(loc='upper right')
ax.set_title(f'Visualización de ventanas deslizantes\nTamaño ventana: {window_size}, Pasos entrenamiento: {train_steps}, Validación: {validation_steps}, Prueba: {test_steps}')
plt.xlabel('Índice de Tiempo')
plt.ylabel('Valor de la Serie Temporal')
plt.show()
# Crear una serie temporal simulada
ts = np.sin(np.linspace(0, 50, 300)) # Serie temporal de ejemplo
# Parámetros para la visualización
window_size = 10
train_steps = 5
validation_steps = 3
test_steps = 2
# Llamada a la función de visualización
visualize_windows(ts, window_size, train_steps, validation_steps, test_steps)
import numpy as np
import matplotlib.pyplot as plt
import matplotlib.patches as patches
def plot_windowing_structure(window_size, train_steps, validation_steps, test_steps, num_rows=10):
fig, ax = plt.subplots(figsize=(12, 6))
# Crear una serie temporal de ejemplo
series_len = num_rows * (train_steps + validation_steps + test_steps)
ts = np.arange(1, series_len + 1)
# Definir colores
train_color = 'red'
val_color = 'blue'
test_color = 'green'
for row in range(num_rows):
# Calcular la posición base de inicio para la fila
start_pos = row * (train_steps + validation_steps + test_steps)
# Entrenamiento
for i in range(train_steps):
x_start = start_pos + i
ax.add_patch(patches.Rectangle((x_start, row), window_size, 1, edgecolor='none', facecolor=train_color))
# Validación
for i in range(train_steps, train_steps + validation_steps):
x_start = start_pos + i
ax.add_patch(patches.Rectangle((x_start, row), window_size, 1, edgecolor='none', facecolor=val_color))
# Prueba
for i in range(train_steps + validation_steps, train_steps + validation_steps + test_steps):
x_start = start_pos + i
ax.add_patch(patches.Rectangle((x_start, row), window_size, 1, edgecolor='none', facecolor=test_color))
# Etiquetas y leyenda
ax.set_xlim(0, series_len)
ax.set_ylim(-1, num_rows)
ax.set_xlabel('Índice de tiempo')
ax.set_ylabel('Iteraciones (filas)')
# Crear leyenda personalizada
legend_handles = [
patches.Patch(color=train_color, label='Entrenamiento'),
patches.Patch(color=val_color, label='Validación'),
patches.Patch(color=test_color, label='Prueba')
]
ax.legend(handles=legend_handles)
plt.title(f'Estructura de ventanas deslizantes: {window_size} pasos por ventana')
plt.grid(False)
plt.show()
# Parámetros de ventana
window_size = 7
train_steps = 14
validation_steps = 7
test_steps = 7
# Llamar a la función para graficar la estructura de las ventanas
plot_windowing_structure(window_size, train_steps, validation_steps, test_steps, num_rows=5)
import torch
import torch.nn as nn
import torch.optim as optim
from sklearn.preprocessing import MinMaxScaler
from torch.utils.data import DataLoader, TensorDataset
from sklearn.metrics import r2_score
import itertools
import os
import yfinance as yf
import pandas as pd
import warnings
warnings.filterwarnings("ignore")
import numpy as np
from matplotlib import pyplot as plt
import seaborn as sns
from statsmodels.graphics.tsaplots import plot_acf, plot_pacf
from sklearn.metrics import mean_absolute_percentage_error, mean_squared_error, r2_score
from scipy.stats import kurtosis, skew, jarque_bera
from statsmodels.tsa.stattools import adfuller, kpss
import matplotlib.pyplot as plt
import seaborn as sns
import statsmodels.api as sm
from scipy.stats import kurtosistest, skewtest, jarque_bera
from statsmodels.tsa.arima.model import ARIMA
# Function to calculate MAPE, RMSE, and R² adj
def calculate_metrics(y_true, y_pred, n, p):
y_true = y_true.flatten()
y_pred = y_pred.flatten()
mape = np.mean(np.abs((y_true - y_pred) / y_true)) * 100
rmse = np.sqrt(np.mean((y_true - y_pred) ** 2))
ss_res = np.sum((y_true - y_pred) ** 2)
ss_tot = np.sum((y_true - np.mean(y_true)) ** 2)
r2 = 1 - (ss_res / ss_tot)
r2_adj = 1 - ((1 - r2) * (n - 1) / (n - p - 1))
return mape, rmse, r2, r2_adj
# Function to evaluate the model and create a dataframe row
def evaluate_and_create_row(model, data_loader, criterion, scaler, window_size, model_name):
model.eval()
all_predictions = []
all_targets = []
with torch.no_grad():
for X_batch, y_batch in data_loader:
outputs = model(X_batch)
all_predictions.append(outputs)
all_targets.append(y_batch)
# Concatenate all predictions and targets
all_predictions = torch.cat(all_predictions, dim=0).cpu().numpy()
all_targets = torch.cat(all_targets, dim=0).cpu().numpy()
all_predictions = scaler.inverse_transform(all_predictions.reshape(-1, 1))
all_targets = scaler.inverse_transform(all_targets.reshape(-1, 1))
n = len(all_targets)
p = window_size
mape, rmse, r2, r2_adj = calculate_metrics(np.concatenate(all_targets), np.concatenate(all_predictions), n, p)
metrics_df = pd.DataFrame({
'Model': [model_name],
'MAPE': [mape],
'RMSE': [rmse],
'R²': [r2],
'R² adj': [r2_adj]
})
return all_predictions, all_targets, metrics_df
class LSTMModel(nn.Module):
def __init__(self, input_size, hidden_size, output_size, num_layers):
super(LSTMModel, self).__init__()
self.num_layers = num_layers
self.hidden_size = hidden_size
self.lstm = nn.LSTM(input_size, hidden_size, num_layers, batch_first=True)
self.fc = nn.Linear(hidden_size, output_size)
def forward(self, x):
h_0 = torch.zeros(self.num_layers, x.size(0), self.hidden_size).to(x.device)
c_0 = torch.zeros(self.num_layers, x.size(0), self.hidden_size).to(x.device)
out, _ = self.lstm(x, (h_0, c_0))
out = self.fc(out) # Apply fully connected layer to each time step
return out
import pandas as pd
import numpy as np
from statsmodels.graphics.tsaplots import plot_acf
import matplotlib.pyplot as plt
from statsmodels.api import qqplot
from statsmodels.tsa.stattools import acf
from statsmodels.stats.diagnostic import normal_ad
from scipy import stats
# Normalize the data
# Ruta del archivo CSV
BHdata = "C:\\Users\\Maestriadatos\\Documents\\lizcanollerenaparcial\\docs\\bitcoinhistoricaldata.csv"
df = pd.read_csv(BHdata)
# Convertir la columna 'Price', 'Open', 'High', 'Low' eliminando comas y convirtiendo a float
df['Price'] = df['Price'].str.replace(',', '').astype(float)
df['Open'] = df['Open'].str.replace(',', '').astype(float)
df['High'] = df['High'].str.replace(',', '').astype(float)
df['Low'] = df['Low'].str.replace(',', '').astype(float)
# Convertir la columna 'Vol.' eliminando comas, reemplazando 'K' por 'e3' (miles) y 'M' por 'e6' (millones), luego convertir a numérico
df['Vol.'] = df['Vol.'].str.replace('K', 'e3').str.replace('M', 'e6').str.replace(',', '')
df['Vol.'] = pd.to_numeric(df['Vol.'], errors='coerce')
# Convertir la columna 'Change %' eliminando el símbolo '%' y convirtiendo a float
df['Change %'] = df['Change %'].str.replace('%', '').astype(float)
# Cargar los datos
scaler = MinMaxScaler(feature_range=(0, 1))
btc_close_scaled = scaler.fit_transform(df.Price.values.reshape(-1, 1))
# Convert to tensor
btc_close_tensor = torch.FloatTensor(btc_close_scaled).view(-1)
shared_folder_path = "C:\\Users\\Maestriadatos\\Documents\\lizcanollerenaparcial\\docs"
files = os.listdir(shared_folder_path)
print(files)
['bitcoinhistoricaldata.csv', 'intro.md', 'logo.png', 'lstm_modelAt_14_14.pth', 'lstm_modelAt_14_21.pth', 'lstm_modelAt_14_28.pth', 'lstm_modelAt_14_7.pth', 'lstm_modelAt_21_14.pth', 'lstm_modelAt_21_21.pth', 'lstm_modelAt_21_28.pth', 'lstm_modelAt_21_7.pth', 'lstm_modelAt_28_14.pth', 'lstm_modelAt_28_21.pth', 'lstm_modelAt_28_28.pth', 'lstm_modelAt_28_7.pth', 'lstm_modelAt_7_14.pth', 'lstm_modelAt_7_21.pth', 'lstm_modelAt_7_28.pth', 'lstm_modelAt_7_7.pth', 'lstm_modelVol7_14_14.pth', 'lstm_modelVol7_14_21.pth', 'lstm_modelVol7_14_28.pth', 'lstm_modelVol7_14_7.pth', 'lstm_modelVol7_21_14.pth', 'lstm_modelVol7_21_21.pth', 'lstm_modelVol7_21_28.pth', 'lstm_modelVol7_21_7.pth', 'lstm_modelVol7_28_14.pth', 'lstm_modelVol7_28_21.pth', 'lstm_modelVol7_28_28.pth', 'lstm_modelVol7_28_7.pth', 'lstm_modelVol7_7_14.pth', 'lstm_modelVol7_7_21.pth', 'lstm_modelVol7_7_28.pth', 'lstm_modelVol7_7_7.pth', 'lstm_model_14_14.pth', 'lstm_model_14_21.pth', 'lstm_model_14_28.pth', 'lstm_model_14_7.pth', 'lstm_model_21_14.pth', 'lstm_model_21_21.pth', 'lstm_model_21_28.pth', 'lstm_model_21_7.pth', 'lstm_model_28_14.pth', 'lstm_model_28_21.pth', 'lstm_model_28_28.pth', 'lstm_model_28_7.pth', 'lstm_model_7_14.pth', 'lstm_model_7_21.pth', 'lstm_model_7_28.pth', 'lstm_model_7_7.pth', 'markdown-notebooks.md', 'markdown.md', 'notebooks.ipynb', 'references.bib', 'requirements.txt', '_config.yml', '_toc.yml']
window_sizes = [7, 14, 21, 28]
training_step_sizes = [7, 14, 21, 28]
columns = ['Model', 'MAPE', 'RMSE', 'R²', 'R² adj']
lstm_result_df = pd.DataFrame(columns=columns)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
print(f'Device: {device}')
for window_size, train_steps in itertools.product(window_sizes, training_step_sizes):
# Create windows
print(f'Window Size: {window_size}, Training Step Size: {train_steps}')
model_name = f'lstm_model_{window_size}_{train_steps}.pth'
if os.path.exists(os.path.join(shared_folder_path, model_name)):
checkpoint = torch.load(os.path.join(shared_folder_path, model_name))
valid_metrics_df = checkpoint['valid_metrics_df']
lstm_result_df = pd.concat([lstm_result_df, valid_metrics_df], ignore_index=True)
continue
validation_steps = 14
test_steps = 14
# Create windows
Xtrains, ytrains, Xvalids, yvalids, Xtests, ytests = create_windows(btc_close_tensor, window_size, train_steps, validation_steps, test_steps)
# Reshape the data to match the required input shape
Xtrains = torch.tensor(Xtrains, dtype=torch.float32).view(-1, train_steps, window_size).to(device)
ytrains = torch.tensor(ytrains, dtype=torch.float32).view(-1, train_steps, 1).to(device)
Xvalids = torch.tensor(Xvalids, dtype=torch.float32).view(-1, validation_steps, window_size).to(device)
yvalids = torch.tensor(yvalids, dtype=torch.float32).view(-1, validation_steps, 1).to(device)
Xtests = torch.tensor(Xtests, dtype=torch.float32).view(-1, test_steps, window_size).to(device)
ytests = torch.tensor(ytests, dtype=torch.float32).view(-1, test_steps, 1).to(device)
train_dataset = TensorDataset(Xtrains, ytrains)
valid_dataset = TensorDataset(Xvalids, yvalids)
test_dataset = TensorDataset(Xtests, ytests)
# batch_size = Xtrains.shape[0] # Ensure batch_size matches the first dimension of Xtrains
batch_size = 1
train_loader_original = DataLoader(train_dataset, batch_size=batch_size, shuffle=False)
train_loader = DataLoader(train_dataset, batch_size=batch_size, shuffle=True)
valid_loader = DataLoader(valid_dataset, batch_size=batch_size, shuffle=False)
test_loader = DataLoader(test_dataset, batch_size=batch_size, shuffle=False)
# Model Parameters
input_size = window_size
hidden_size = 25
output_size = 1
num_layers = 6
model = LSTMModel(input_size, hidden_size, output_size, num_layers).to(device)
# Training parameters
num_epochs = 100
learning_rate = 0.001
# Loss and optimizer
criterion = nn.MSELoss()
optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)
# Training loop
for epoch in range(num_epochs):
model.train()
epoch_loss = 0
for X_batch, y_batch in train_loader:
optimizer.zero_grad() # Zero out the gradients for the next batch
outputs = model(X_batch)
loss = criterion(outputs, y_batch)
loss.backward() # Backpropagation
optimizer.step() # Optimize the weights
epoch_loss += loss.item()
if (epoch + 1) % 10 == 0:
avg_loss = epoch_loss / len(train_loader)
print(f'Epoch [{epoch + 1}/{num_epochs}], Loss: {avg_loss:.4f}')
_, _, valid_metrics_df = evaluate_and_create_row(model, valid_loader, criterion, scaler, window_size, model_name)
lstm_result_df = pd.concat([lstm_result_df, valid_metrics_df], ignore_index=True)
torch.save({
'input_size': input_size,
'hidden_size': hidden_size,
'output_size': output_size,
'num_layers': num_layers,
'state_dict': model.state_dict(),
'test_loader': test_loader,
'valid_metrics_df': valid_metrics_df
}, os.path.join(shared_folder_path, model_name))
print("Model saved successfully!")
Device: cpu
Window Size: 7, Training Step Size: 7
Window Size: 7, Training Step Size: 14
Window Size: 7, Training Step Size: 21
Window Size: 7, Training Step Size: 28
Window Size: 14, Training Step Size: 7
Window Size: 14, Training Step Size: 14
Window Size: 14, Training Step Size: 21
Window Size: 14, Training Step Size: 28
Window Size: 21, Training Step Size: 7
Window Size: 21, Training Step Size: 14
Window Size: 21, Training Step Size: 21
Window Size: 21, Training Step Size: 28
Window Size: 28, Training Step Size: 7
Window Size: 28, Training Step Size: 14
Window Size: 28, Training Step Size: 21
Window Size: 28, Training Step Size: 28
model_with_min_r2_adj = lstm_result_df.loc[lstm_result_df['R² adj'].idxmax(), 'Model']
print(f"Model with the smallest R² adjusted: {model_with_min_r2_adj}")
model = LSTMModel(input_size, hidden_size, output_size, num_layers).to(device)
checkpoint = torch.load(os.path.join(shared_folder_path, model_with_min_r2_adj))
input_size = checkpoint['input_size']
hidden_size = checkpoint['hidden_size']
output_size = checkpoint['output_size']
num_layers = checkpoint['num_layers']
test_loader = checkpoint['test_loader']
lstm_model = LSTMModel(input_size, hidden_size, output_size, num_layers)
lstm_model.load_state_dict(checkpoint['state_dict'])
lstm_model.to(device)
print("Model loaded successfully!")
Model with the smallest R² adjusted: lstm_model_14_21.pth
Model loaded successfully!
lstm_result_df
| Model | MAPE | RMSE | R² | R² adj | |
|---|---|---|---|---|---|
| 0 | lstm_model_7_7.pth | 13823.792969 | 3889.401367 | 0.939962 | 0.939749 |
| 1 | lstm_model_7_14.pth | 8316.774414 | 1277.516479 | 0.993282 | 0.993254 |
| 2 | lstm_model_7_21.pth | 9519.721680 | 2633.489014 | 0.970614 | 0.970467 |
| 3 | lstm_model_7_28.pth | 8158.646484 | 1525.957520 | 0.989754 | 0.989695 |
| 4 | lstm_model_14_7.pth | 9025.233398 | 2417.115479 | 0.975942 | 0.975771 |
| 5 | lstm_model_14_14.pth | 3142.239990 | 954.562744 | 0.996184 | 0.996151 |
| 6 | lstm_model_14_21.pth | 2346.378418 | 911.253235 | 0.996390 | 0.996354 |
| 7 | lstm_model_14_28.pth | 8347.414062 | 1983.402710 | 0.982615 | 0.982415 |
| 8 | lstm_model_21_7.pth | 10256.427734 | 2825.454102 | 0.966234 | 0.965871 |
| 9 | lstm_model_21_14.pth | 23891.451172 | 1722.454346 | 0.987155 | 0.986990 |
| 10 | lstm_model_21_21.pth | 20530.283203 | 1048.479858 | 0.995303 | 0.995233 |
| 11 | lstm_model_21_28.pth | 6618.501953 | 1443.454102 | 0.990350 | 0.990180 |
| 12 | lstm_model_28_7.pth | 35114.261719 | 2558.657227 | 0.971567 | 0.971158 |
| 13 | lstm_model_28_14.pth | 13888.269531 | 2208.796875 | 0.978633 | 0.978261 |
| 14 | lstm_model_28_21.pth | 18652.074219 | 1173.737305 | 0.993867 | 0.993742 |
| 15 | lstm_model_28_28.pth | 23398.820312 | 1144.378540 | 0.994465 | 0.994336 |
En los resultados obtenidos con los modelos LSTM para la predicción del precio de Bitcoin, se puede notar que el rendimiento varía significativamente en función del tamaño de la ventana y el horizonte de predicción. En general, los modelos con una ventana de 14 días tienden a ofrecer las mejores métricas, como el caso del modelo con ventana y horizonte de 14 días (lstm_model_14_14.pth) que obtuvo el MAPE más bajo (3142.24) y un R² cercano a 1 (0.996184), lo que indica una alta precisión en sus predicciones.
Los modelos con ventanas de 7 y 21 días también muestran buenos resultados, pero hay más variabilidad en el error. Por ejemplo, el modelo con ventana de 7 días y horizonte de 14 (lstm_model_7_14.pth) presenta un error menor (MAPE de 8316.77) en comparación con el mismo modelo con horizonte de 21 días (lstm_model_7_21.pth), que tiene un MAPE mayor (9519.72).
Finalmente, los modelos con ventanas de 28 días tienen más dificultad para mantener una precisión constante, especialmente en los horizontes más cortos, como se observa en el modelo lstm_model_28_7.pth, que tiene un MAPE muy elevado (35114.26), lo que indica una menor capacidad para capturar las variaciones del precio en esos intervalos.
# Loss and optimizer
criterion = nn.MSELoss()
def count_parameters(model):
return sum(p.numel() for p in model.parameters() if p.requires_grad)
def calculate_adjusted_r2(all_targets, all_predictions, model):
n = len(all_targets)
k = count_parameters(model) # Total number of trainable parameters
r2 = r2_score(all_targets, all_predictions)
r2_adj = 1 - (1 - r2) * (n - 1) / (n - k - 1)
print(f"R²: {r2:.4f}")
print(f"R² adjusted: {r2_adj:.4f}")
print(f"Number of trainable parameters: {k}")
print(f"Nunmber of measures : {n}")
return r2_adj
def evaluate_model_residues(model, data_loader, criterion):
model.eval()
all_predictions = []
all_targets = []
with torch.no_grad():
for X_batch, y_batch in data_loader:
outputs = model(X_batch)
all_predictions.append(outputs)
all_targets.append(y_batch)
# Concatenate all predictions and targets
all_predictions = torch.cat(all_predictions, dim=0).cpu().numpy().reshape(-1)
all_targets = torch.cat(all_targets, dim=0).cpu().numpy().reshape(-1)
residues = all_targets - all_predictions
# Calculate statistics
mape = mean_absolute_percentage_error(all_targets, all_predictions)
rmse = np.sqrt(mean_squared_error(all_targets, all_predictions))
r2 = r2_score(all_targets, all_predictions)
kurt_stat, kurt_p_value = kurtosistest(residues)
skew_stat, skew_p_value = skewtest(residues)
jb_stat, jb_p_value = jarque_bera(residues)
adf_stat, adf_p_value, _, _, _, _ = adfuller(residues)
kpss_stat, kpss_p_value, _, _ = kpss(residues)
results = {
'MAPE': mape,
'RMSE': rmse,
# 'R2 adj': r2_adj,
'R2': r2,
'Kurtosis (statistic)': kurt_stat,
'Kurtosis (p-value)': kurt_p_value,
'Skewness (statistic)': skew_stat,
'Skewness (p-value)': skew_p_value,
'Jarque-Bera (statistic)': jb_stat,
'Jarque-Bera (p-value)': jb_p_value,
'Dickey Fuller (statistic)': adf_stat,
'Dickey Fuller (p-value)': adf_p_value,
'KPSS test (statistic)': kpss_stat,
'KPSS test (p-value)': kpss_p_value
}
results_df = pd.DataFrame.from_dict(results, orient='index', columns=['Value'])
# Plotting the time series of residues
plt.figure(figsize=(10, 6))
plt.plot(residues)
plt.title('Time Series of Residues')
plt.xlabel('Time')
plt.ylabel('Residues')
plt.show()
# Plotting the histogram of residues
plt.figure(figsize=(10, 6))
sns.histplot(residues, kde=True)
plt.title('Histogram of Residues')
plt.xlabel('Residues')
plt.ylabel('Frequency')
plt.show()
# Q-Q plot of residues
plt.figure(figsize=(10, 6))
sm.qqplot(residues, line='s')
plt.title('Q-Q Plot of Residues')
plt.show()
# ACF plot of residues
plt.figure(figsize=(10, 6))
sm.graphics.tsa.plot_acf(residues, lags=40)
plt.title('Autocorrelation Function (ACF) of Residues')
plt.show()
return residues, results_df
residues, results_df = evaluate_model_residues(lstm_model, test_loader, criterion)
results_df
<Figure size 1000x600 with 0 Axes>
<Figure size 1000x600 with 0 Axes>
| Value | |
|---|---|
| MAPE | 9.413034e+10 |
| RMSE | 1.179102e-02 |
| R2 | 9.968290e-01 |
| Kurtosis (statistic) | 1.727034e+01 |
| Kurtosis (p-value) | 7.867481e-67 |
| Skewness (statistic) | -1.122920e+01 |
| Skewness (p-value) | 2.931350e-29 |
| Jarque-Bera (statistic) | 1.030804e+04 |
| Jarque-Bera (p-value) | 0.000000e+00 |
| Dickey Fuller (statistic) | -8.623177e+00 |
| Dickey Fuller (p-value) | 6.027746e-14 |
| KPSS test (statistic) | 3.385352e-01 |
| KPSS test (p-value) | 1.000000e-01 |
test_predictions, test_targets, test_metrics_df = evaluate_and_create_row(lstm_model, test_loader, criterion, scaler, window_size, "MLP")
plt.plot(test_predictions.reshape(-1), label='test_predictions')
plt.plot(test_targets.reshape(-1), label='test_targets')
plt.legend()
plt.show()
test_metrics_df
| Model | MAPE | RMSE | R² | R² adj | |
|---|---|---|---|---|---|
| 0 | MLP | 2427.556885 | 861.525208 | 0.996829 | 0.996765 |
LSTM Retornos acumulados#
# Eliminar las filas con valores nulos en la columna 'Price'
df.dropna(subset=['Price'], inplace=True)
# Calcular el retorno diario Rt
df['Rt'] = (df['Price'] - df['Price'].shift(1)) / df['Price'].shift(1)
# Calcular el retorno acumulado diario At
df['At'] = df['Rt'].cumsum()
# Función para calcular la volatilidad usando ventanas móviles
def calcular_volatilidad(data, ventana):
"""
Esta función calcula la volatilidad (desviación estándar)
de los retornos diarios utilizando una ventana móvil.
"""
return data['Rt'].rolling(window=ventana).std()
# Calcular volatilidad para diferentes ventanas
ventanas = [7, 14, 21, 28]
for ventana in ventanas:
df[f'Volatilidad_{ventana}'] = calcular_volatilidad(df, ventana)
# Cargar los datos
scaler = MinMaxScaler(feature_range=(0, 1))
btc_At_scaled = scaler.fit_transform(df.At.values.reshape(-1, 1))
# Convert to tensor
btc_At_tensor = torch.FloatTensor(btc_At_scaled).view(-1)
shared_folder_path = "C:\\Users\\Maestriadatos\\Documents\\lizcanollerenaparcial\\docs"
files = os.listdir(shared_folder_path)
print(files)
['bitcoinhistoricaldata.csv', 'intro.md', 'logo.png', 'lstm_modelAt_14_14.pth', 'lstm_modelAt_14_21.pth', 'lstm_modelAt_14_28.pth', 'lstm_modelAt_14_7.pth', 'lstm_modelAt_21_14.pth', 'lstm_modelAt_21_21.pth', 'lstm_modelAt_21_28.pth', 'lstm_modelAt_21_7.pth', 'lstm_modelAt_28_14.pth', 'lstm_modelAt_28_21.pth', 'lstm_modelAt_28_28.pth', 'lstm_modelAt_28_7.pth', 'lstm_modelAt_7_14.pth', 'lstm_modelAt_7_21.pth', 'lstm_modelAt_7_28.pth', 'lstm_modelAt_7_7.pth', 'lstm_modelVol7_14_14.pth', 'lstm_modelVol7_14_21.pth', 'lstm_modelVol7_14_28.pth', 'lstm_modelVol7_14_7.pth', 'lstm_modelVol7_21_14.pth', 'lstm_modelVol7_21_21.pth', 'lstm_modelVol7_21_28.pth', 'lstm_modelVol7_21_7.pth', 'lstm_modelVol7_28_14.pth', 'lstm_modelVol7_28_21.pth', 'lstm_modelVol7_28_28.pth', 'lstm_modelVol7_28_7.pth', 'lstm_modelVol7_7_14.pth', 'lstm_modelVol7_7_21.pth', 'lstm_modelVol7_7_28.pth', 'lstm_modelVol7_7_7.pth', 'lstm_model_14_14.pth', 'lstm_model_14_21.pth', 'lstm_model_14_28.pth', 'lstm_model_14_7.pth', 'lstm_model_21_14.pth', 'lstm_model_21_21.pth', 'lstm_model_21_28.pth', 'lstm_model_21_7.pth', 'lstm_model_28_14.pth', 'lstm_model_28_21.pth', 'lstm_model_28_28.pth', 'lstm_model_28_7.pth', 'lstm_model_7_14.pth', 'lstm_model_7_21.pth', 'lstm_model_7_28.pth', 'lstm_model_7_7.pth', 'markdown-notebooks.md', 'markdown.md', 'notebooks.ipynb', 'references.bib', 'requirements.txt', '_config.yml', '_toc.yml']
window_sizes = [7, 14, 21, 28]
training_step_sizes = [7, 14, 21, 28]
columns = ['Model', 'MAPE', 'RMSE', 'R²', 'R² adj']
lstm_result_df = pd.DataFrame(columns=columns)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
print(f'Device: {device}')
for window_size, train_steps in itertools.product(window_sizes, training_step_sizes):
# Create windows
print(f'Window Size: {window_size}, Training Step Size: {train_steps}')
model_name = f'lstm_modelAt_{window_size}_{train_steps}.pth'
if os.path.exists(os.path.join(shared_folder_path, model_name)):
checkpoint = torch.load(os.path.join(shared_folder_path, model_name))
valid_metrics_df = checkpoint['valid_metrics_df']
lstm_result_df = pd.concat([lstm_result_df, valid_metrics_df], ignore_index=True)
continue
validation_steps = 14
test_steps = 14
# Create windows
Xtrains, ytrains, Xvalids, yvalids, Xtests, ytests = create_windows(btc_At_tensor, window_size, train_steps, validation_steps, test_steps)
# Reshape the data to match the required input shape
Xtrains = torch.tensor(Xtrains, dtype=torch.float32).view(-1, train_steps, window_size).to(device)
ytrains = torch.tensor(ytrains, dtype=torch.float32).view(-1, train_steps, 1).to(device)
Xvalids = torch.tensor(Xvalids, dtype=torch.float32).view(-1, validation_steps, window_size).to(device)
yvalids = torch.tensor(yvalids, dtype=torch.float32).view(-1, validation_steps, 1).to(device)
Xtests = torch.tensor(Xtests, dtype=torch.float32).view(-1, test_steps, window_size).to(device)
ytests = torch.tensor(ytests, dtype=torch.float32).view(-1, test_steps, 1).to(device)
train_dataset = TensorDataset(Xtrains, ytrains)
valid_dataset = TensorDataset(Xvalids, yvalids)
test_dataset = TensorDataset(Xtests, ytests)
# batch_size = Xtrains.shape[0] # Ensure batch_size matches the first dimension of Xtrains
batch_size = 16
train_loader_original = DataLoader(train_dataset, batch_size=batch_size, shuffle=False)
train_loader = DataLoader(train_dataset, batch_size=batch_size, shuffle=True)
valid_loader = DataLoader(valid_dataset, batch_size=batch_size, shuffle=False)
test_loader = DataLoader(test_dataset, batch_size=batch_size, shuffle=False)
# Model Parameters
input_size = window_size
hidden_size = 5
output_size = 1
num_layers = 6
model = LSTMModel(input_size, hidden_size, output_size, num_layers).to(device)
# Training parameters
num_epochs = 100
learning_rate = 0.001
# Loss and optimizer
criterion = nn.MSELoss()
optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)
# Training loop
for epoch in range(num_epochs):
model.train()
epoch_loss = 0
for X_batch, y_batch in train_loader:
optimizer.zero_grad() # Zero out the gradients for the next batch
outputs = model(X_batch)
loss = criterion(outputs, y_batch)
loss.backward() # Backpropagation
optimizer.step() # Optimize the weights
epoch_loss += loss.item()
if (epoch + 1) % 10 == 0:
avg_loss = epoch_loss / len(train_loader)
print(f'Epoch [{epoch + 1}/{num_epochs}], Loss: {avg_loss:.4f}')
_, _, valid_metrics_df = evaluate_and_create_row(model, valid_loader, criterion, scaler, window_size, model_name)
lstm_result_df = pd.concat([lstm_result_df, valid_metrics_df], ignore_index=True)
torch.save({
'input_size': input_size,
'hidden_size': hidden_size,
'output_size': output_size,
'num_layers': num_layers,
'state_dict': model.state_dict(),
'test_loader': test_loader,
'valid_metrics_df': valid_metrics_df
}, os.path.join(shared_folder_path, model_name))
print("Model saved successfully!")
Device: cpu
Window Size: 7, Training Step Size: 7
Window Size: 7, Training Step Size: 14
Window Size: 7, Training Step Size: 21
Window Size: 7, Training Step Size: 28
Window Size: 14, Training Step Size: 7
Window Size: 14, Training Step Size: 14
Window Size: 14, Training Step Size: 21
Window Size: 14, Training Step Size: 28
Window Size: 21, Training Step Size: 7
Window Size: 21, Training Step Size: 14
Window Size: 21, Training Step Size: 21
Window Size: 21, Training Step Size: 28
Window Size: 28, Training Step Size: 7
Window Size: 28, Training Step Size: 14
Window Size: 28, Training Step Size: 21
Window Size: 28, Training Step Size: 28
lstm_result_df
| Model | MAPE | RMSE | R² | R² adj | |
|---|---|---|---|---|---|
| 0 | lstm_modelAt_7_7.pth | 76.911530 | 0.308117 | 0.944188 | 0.943991 |
| 1 | lstm_modelAt_7_14.pth | 73.137489 | 0.524841 | 0.836854 | 0.836160 |
| 2 | lstm_modelAt_7_21.pth | 228.004532 | 0.879214 | 0.543819 | 0.541548 |
| 3 | lstm_modelAt_7_28.pth | 294.488953 | 1.497455 | -0.344227 | -0.351914 |
| 4 | lstm_modelAt_14_7.pth | 115.428879 | 0.835289 | 0.590325 | 0.587418 |
| 5 | lstm_modelAt_14_14.pth | 78.023338 | 0.372065 | 0.917499 | 0.916794 |
| 6 | lstm_modelAt_14_21.pth | 176.888351 | 0.757989 | 0.658089 | 0.654667 |
| 7 | lstm_modelAt_14_28.pth | 201.702637 | 0.509021 | 0.847431 | 0.845676 |
| 8 | lstm_modelAt_21_7.pth | 96.139023 | 0.355213 | 0.924604 | 0.923793 |
| 9 | lstm_modelAt_21_14.pth | 100.701965 | 0.468056 | 0.871907 | 0.870257 |
| 10 | lstm_modelAt_21_21.pth | 101.409386 | 0.703727 | 0.710726 | 0.706362 |
| 11 | lstm_modelAt_21_28.pth | 355.159363 | 1.482051 | -0.311112 | -0.334133 |
| 12 | lstm_modelAt_28_7.pth | 76.436249 | 0.355997 | 0.925336 | 0.924261 |
| 13 | lstm_modelAt_28_14.pth | 121.831467 | 0.547822 | 0.821311 | 0.818202 |
| 14 | lstm_modelAt_28_21.pth | 130.495758 | 0.669949 | 0.737431 | 0.732068 |
| 15 | lstm_modelAt_28_28.pth | 302.191559 | 0.956602 | 0.462024 | 0.449503 |
En los resultados de los modelos LSTM para la predicción de los retornos acumulados del Bitcoin, se observa un comportamiento desigual dependiendo del tamaño de la ventana y del horizonte de predicción. Los modelos con ventanas de 7 y 28 días presentan un buen desempeño en horizontes cortos, con MAPE relativamente bajos, como en el caso del modelo lstm_modelAt_7_7.pth (MAPE de 76.91 y R² de 0.944) y el lstm_modelAt_28_7.pth (MAPE de 76.44 y R² de 0.925).
Sin embargo, los horizontes más largos, especialmente en ventanas de 7 y 21 días, presentan una clara degradación en la precisión. Por ejemplo, el modelo lstm_modelAt_7_28.pth tiene un MAPE elevado (294.49) y un R² negativo (-0.344), lo que sugiere que no está capturando bien las tendencias.
En contraste, el modelo lstm_modelAt_14_14.pth muestra un equilibrio sólido entre precisión y error (MAPE de 78.02 y R² de 0.917), lo que sugiere que una ventana de 14 días es adecuada para predecir con mayor precisión en horizontes intermedios.
En general, los resultados indican que el rendimiento es más estable en horizontes más cortos, mientras que en horizontes largos los errores crecen significativamente, especialmente con ventanas pequeñas como de 7 días.
model_with_min_r2_adj = lstm_result_df.loc[lstm_result_df['R² adj'].idxmax(), 'Model']
print(f"Model with the smallest R² adjusted: {model_with_min_r2_adj}")
checkpoint = torch.load(os.path.join(shared_folder_path, model_with_min_r2_adj))
input_size = checkpoint['input_size']
hidden_size = checkpoint['hidden_size']
output_size = checkpoint['output_size']
num_layers = checkpoint['num_layers']
test_loader = checkpoint['test_loader']
lstm_model = LSTMModel(input_size, hidden_size, output_size, num_layers)
lstm_model.load_state_dict(checkpoint['state_dict'])
lstm_model.to(device)
print("Model loaded successfully!")
Model with the smallest R² adjusted: lstm_modelAt_7_7.pth
Model loaded successfully!
def count_parameters(model):
return sum(p.numel() for p in model.parameters() if p.requires_grad)
def calculate_adjusted_r2(all_targets, all_predictions, model):
n = len(all_targets)
k = count_parameters(model) # Total number of trainable parameters
r2 = r2_score(all_targets, all_predictions)
r2_adj = 1 - (1 - r2) * (n - 1) / (n - k - 1)
print(f"R²: {r2:.4f}")
print(f"R² adjusted: {r2_adj:.4f}")
print(f"Number of trainable parameters: {k}")
print(f"Nunmber of measures : {n}")
return r2_adj
def evaluate_model_residues(model, data_loader, criterion):
model.eval()
all_predictions = []
all_targets = []
with torch.no_grad():
for X_batch, y_batch in data_loader:
outputs = model(X_batch)
all_predictions.append(outputs)
all_targets.append(y_batch)
# Concatenate all predictions and targets
all_predictions = torch.cat(all_predictions, dim=0).cpu().numpy().reshape(-1)
all_targets = torch.cat(all_targets, dim=0).cpu().numpy().reshape(-1)
residues = all_targets - all_predictions
# Calculate statistics
mape = mean_absolute_percentage_error(all_targets, all_predictions)
rmse = np.sqrt(mean_squared_error(all_targets, all_predictions))
r2 = r2_score(all_targets, all_predictions)
kurt_stat, kurt_p_value = kurtosistest(residues)
skew_stat, skew_p_value = skewtest(residues)
jb_stat, jb_p_value = jarque_bera(residues)
adf_stat, adf_p_value, _, _, _, _ = adfuller(residues)
kpss_stat, kpss_p_value, _, _ = kpss(residues)
results = {
'MAPE': mape,
'RMSE': rmse,
# 'R2 adj': r2_adj,
'R2': r2,
'Kurtosis (statistic)': kurt_stat,
'Kurtosis (p-value)': kurt_p_value,
'Skewness (statistic)': skew_stat,
'Skewness (p-value)': skew_p_value,
'Jarque-Bera (statistic)': jb_stat,
'Jarque-Bera (p-value)': jb_p_value,
'Dickey Fuller (statistic)': adf_stat,
'Dickey Fuller (p-value)': adf_p_value,
'KPSS test (statistic)': kpss_stat,
'KPSS test (p-value)': kpss_p_value
}
results_df = pd.DataFrame.from_dict(results, orient='index', columns=['Value'])
# Plotting the time series of residues
plt.figure(figsize=(10, 6))
plt.plot(residues)
plt.title('Time Series of Residues')
plt.xlabel('Time')
plt.ylabel('Residues')
plt.show()
# Plotting the histogram of residues
plt.figure(figsize=(10, 6))
sns.histplot(residues, kde=True)
plt.title('Histogram of Residues')
plt.xlabel('Residues')
plt.ylabel('Frequency')
plt.show()
# Q-Q plot of residues
plt.figure(figsize=(10, 6))
sm.qqplot(residues, line='s')
plt.title('Q-Q Plot of Residues')
plt.show()
# ACF plot of residues
plt.figure(figsize=(10, 6))
sm.graphics.tsa.plot_acf(residues, lags=40)
plt.title('Autocorrelation Function (ACF) of Residues')
plt.show()
return residues, results_df
residues, results_df = evaluate_model_residues(lstm_model, test_loader, criterion)
results_df
<Figure size 1000x600 with 0 Axes>
<Figure size 1000x600 with 0 Axes>
| Value | |
|---|---|
| MAPE | 1.129741e-01 |
| RMSE | 5.282082e-02 |
| R2 | 9.442247e-01 |
| Kurtosis (statistic) | 1.152170e+01 |
| Kurtosis (p-value) | 1.025685e-30 |
| Skewness (statistic) | -1.131176e+01 |
| Skewness (p-value) | 1.147666e-29 |
| Jarque-Bera (statistic) | 7.737599e+02 |
| Jarque-Bera (p-value) | 9.553780e-169 |
| Dickey Fuller (statistic) | -5.154163e+00 |
| Dickey Fuller (p-value) | 1.089810e-05 |
| KPSS test (statistic) | 1.750138e+00 |
| KPSS test (p-value) | 1.000000e-02 |
test_predictions, test_targets, test_metrics_df = evaluate_and_create_row(lstm_model, test_loader, criterion, scaler, window_size, "MLP")
plt.plot(test_predictions.reshape(-1), label='test_predictions')
plt.plot(test_targets.reshape(-1), label='test_targets')
plt.legend()
plt.show()
test_metrics_df
| Model | MAPE | RMSE | R² | R² adj | |
|---|---|---|---|---|---|
| 0 | MLP | 95.904259 | 0.306169 | 0.944225 | 0.943428 |
Volatilidad#
# Cargar los datos
scaler = MinMaxScaler(feature_range=(0, 1))
btc_Vol_scaled = scaler.fit_transform(df.Volatilidad_14.values.reshape(-1, 1))
# Convert to tensor
btc_Vol_tensor = torch.FloatTensor(btc_Vol_scaled).view(-1)
shared_folder_path = "C:\\Users\\Maestriadatos\\Documents\\lizcanollerenaparcial\\docs"
files = os.listdir(shared_folder_path)
print(files)
['bitcoinhistoricaldata.csv', 'intro.md', 'logo.png', 'lstm_modelAt_14_14.pth', 'lstm_modelAt_14_21.pth', 'lstm_modelAt_14_28.pth', 'lstm_modelAt_14_7.pth', 'lstm_modelAt_21_14.pth', 'lstm_modelAt_21_21.pth', 'lstm_modelAt_21_28.pth', 'lstm_modelAt_21_7.pth', 'lstm_modelAt_28_14.pth', 'lstm_modelAt_28_21.pth', 'lstm_modelAt_28_28.pth', 'lstm_modelAt_28_7.pth', 'lstm_modelAt_7_14.pth', 'lstm_modelAt_7_21.pth', 'lstm_modelAt_7_28.pth', 'lstm_modelAt_7_7.pth', 'lstm_modelVol7_14_14.pth', 'lstm_modelVol7_14_21.pth', 'lstm_modelVol7_14_28.pth', 'lstm_modelVol7_14_7.pth', 'lstm_modelVol7_21_14.pth', 'lstm_modelVol7_21_21.pth', 'lstm_modelVol7_21_28.pth', 'lstm_modelVol7_21_7.pth', 'lstm_modelVol7_28_14.pth', 'lstm_modelVol7_28_21.pth', 'lstm_modelVol7_28_28.pth', 'lstm_modelVol7_28_7.pth', 'lstm_modelVol7_7_14.pth', 'lstm_modelVol7_7_21.pth', 'lstm_modelVol7_7_28.pth', 'lstm_modelVol7_7_7.pth', 'lstm_model_14_14.pth', 'lstm_model_14_21.pth', 'lstm_model_14_28.pth', 'lstm_model_14_7.pth', 'lstm_model_21_14.pth', 'lstm_model_21_21.pth', 'lstm_model_21_28.pth', 'lstm_model_21_7.pth', 'lstm_model_28_14.pth', 'lstm_model_28_21.pth', 'lstm_model_28_28.pth', 'lstm_model_28_7.pth', 'lstm_model_7_14.pth', 'lstm_model_7_21.pth', 'lstm_model_7_28.pth', 'lstm_model_7_7.pth', 'markdown-notebooks.md', 'markdown.md', 'notebooks.ipynb', 'references.bib', 'requirements.txt', '_config.yml', '_toc.yml']
window_sizes = [7, 14, 21, 28]
training_step_sizes = [7, 14, 21, 28]
columns = ['Model', 'MAPE', 'RMSE', 'R²', 'R² adj']
lstm_result_df = pd.DataFrame(columns=columns)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
print(f'Device: {device}')
for window_size, train_steps in itertools.product(window_sizes, training_step_sizes):
# Create windows
print(f'Window Size: {window_size}, Training Step Size: {train_steps}')
model_name = f'lstm_modelVol7_{window_size}_{train_steps}.pth'
if os.path.exists(os.path.join(shared_folder_path, model_name)):
checkpoint = torch.load(os.path.join(shared_folder_path, model_name))
valid_metrics_df = checkpoint['valid_metrics_df']
lstm_result_df = pd.concat([lstm_result_df, valid_metrics_df], ignore_index=True)
continue
validation_steps = 14
test_steps = 14
# Create windows
Xtrains, ytrains, Xvalids, yvalids, Xtests, ytests = create_windows(btc_Vol_tensor, window_size, train_steps, validation_steps, test_steps)
# Reshape the data to match the required input shape
Xtrains = torch.tensor(Xtrains, dtype=torch.float32).view(-1, train_steps, window_size).to(device)
ytrains = torch.tensor(ytrains, dtype=torch.float32).view(-1, train_steps, 1).to(device)
Xvalids = torch.tensor(Xvalids, dtype=torch.float32).view(-1, validation_steps, window_size).to(device)
yvalids = torch.tensor(yvalids, dtype=torch.float32).view(-1, validation_steps, 1).to(device)
Xtests = torch.tensor(Xtests, dtype=torch.float32).view(-1, test_steps, window_size).to(device)
ytests = torch.tensor(ytests, dtype=torch.float32).view(-1, test_steps, 1).to(device)
train_dataset = TensorDataset(Xtrains, ytrains)
valid_dataset = TensorDataset(Xvalids, yvalids)
test_dataset = TensorDataset(Xtests, ytests)
# batch_size = Xtrains.shape[0] # Ensure batch_size matches the first dimension of Xtrains
batch_size = 16
train_loader_original = DataLoader(train_dataset, batch_size=batch_size, shuffle=False)
train_loader = DataLoader(train_dataset, batch_size=batch_size, shuffle=True)
valid_loader = DataLoader(valid_dataset, batch_size=batch_size, shuffle=False)
test_loader = DataLoader(test_dataset, batch_size=batch_size, shuffle=False)
# Model Parameters
input_size = window_size
hidden_size = 10
output_size = 1
num_layers = 6
model = LSTMModel(input_size, hidden_size, output_size, num_layers).to(device)
# Training parameters
num_epochs = 500
learning_rate = 0.001
# Loss and optimizer
criterion = nn.MSELoss()
optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)
# Training loop
for epoch in range(num_epochs):
model.train()
epoch_loss = 0
for X_batch, y_batch in train_loader:
optimizer.zero_grad() # Zero out the gradients for the next batch
outputs = model(X_batch)
loss = criterion(outputs, y_batch)
loss.backward() # Backpropagation
optimizer.step() # Optimize the weights
epoch_loss += loss.item()
if (epoch + 1) % 10 == 0:
avg_loss = epoch_loss / len(train_loader)
print(f'Epoch [{epoch + 1}/{num_epochs}], Loss: {avg_loss:.4f}')
_, _, valid_metrics_df = evaluate_and_create_row(model, valid_loader, criterion, scaler, window_size, model_name)
lstm_result_df = pd.concat([lstm_result_df, valid_metrics_df], ignore_index=True)
torch.save({
'input_size': input_size,
'hidden_size': hidden_size,
'output_size': output_size,
'num_layers': num_layers,
'state_dict': model.state_dict(),
'test_loader': test_loader,
'valid_metrics_df': valid_metrics_df
}, os.path.join(shared_folder_path, model_name))
print("Model saved successfully!")
Device: cpu
Window Size: 7, Training Step Size: 7
Window Size: 7, Training Step Size: 14
Window Size: 7, Training Step Size: 21
Window Size: 7, Training Step Size: 28
Window Size: 14, Training Step Size: 7
Window Size: 14, Training Step Size: 14
Window Size: 14, Training Step Size: 21
Window Size: 14, Training Step Size: 28
Window Size: 21, Training Step Size: 7
Window Size: 21, Training Step Size: 14
Window Size: 21, Training Step Size: 21
Window Size: 21, Training Step Size: 28
Window Size: 28, Training Step Size: 7
Window Size: 28, Training Step Size: 14
Window Size: 28, Training Step Size: 21
Window Size: 28, Training Step Size: 28
lstm_result_df
| Model | MAPE | RMSE | R² | R² adj | |
|---|---|---|---|---|---|
| 0 | lstm_modelVol7_7_7.pth | NaN | NaN | NaN | NaN |
| 1 | lstm_modelVol7_7_14.pth | NaN | NaN | NaN | NaN |
| 2 | lstm_modelVol7_7_21.pth | inf | 0.009812 | 0.934868 | 0.934544 |
| 3 | lstm_modelVol7_7_28.pth | inf | 0.010353 | 0.918447 | 0.917981 |
| 4 | lstm_modelVol7_14_7.pth | NaN | NaN | NaN | NaN |
| 5 | lstm_modelVol7_14_14.pth | inf | 0.011278 | 0.919143 | 0.918451 |
| 6 | lstm_modelVol7_14_21.pth | inf | 0.011576 | 0.955416 | 0.954970 |
| 7 | lstm_modelVol7_14_28.pth | inf | 0.009288 | 0.943184 | 0.942531 |
| 8 | lstm_modelVol7_21_7.pth | inf | 0.016467 | 0.897493 | 0.896391 |
| 9 | lstm_modelVol7_21_14.pth | inf | 0.009220 | 0.951912 | 0.951292 |
| 10 | lstm_modelVol7_21_21.pth | inf | 0.009250 | 0.942412 | 0.941543 |
| 11 | lstm_modelVol7_21_28.pth | inf | 0.009156 | 0.927440 | 0.926166 |
| 12 | lstm_modelVol7_28_7.pth | inf | 0.018234 | 0.777704 | 0.774504 |
| 13 | lstm_modelVol7_28_14.pth | inf | 0.015729 | 0.899186 | 0.897432 |
| 14 | lstm_modelVol7_28_21.pth | inf | 0.014149 | 0.866485 | 0.863758 |
| 15 | lstm_modelVol7_28_28.pth | inf | 0.013695 | 0.935259 | 0.933753 |
model_with_min_r2_adj = lstm_result_df.loc[lstm_result_df['R² adj'].idxmax(), 'Model']
print(f"Model with the smallest R² adjusted: {model_with_min_r2_adj}")
checkpoint = torch.load(os.path.join(shared_folder_path, model_with_min_r2_adj))
input_size = checkpoint['input_size']
hidden_size = checkpoint['hidden_size']
output_size = checkpoint['output_size']
num_layers = checkpoint['num_layers']
test_loader = checkpoint['test_loader']
lstm_model = LSTMModel(input_size, hidden_size, output_size, num_layers)
lstm_model.load_state_dict(checkpoint['state_dict'])
lstm_model.to(device)
print("Model loaded successfully!")
Model with the smallest R² adjusted: lstm_modelVol7_14_21.pth
Model loaded successfully!
def count_parameters(model):
return sum(p.numel() for p in model.parameters() if p.requires_grad)
def calculate_adjusted_r2(all_targets, all_predictions, model):
n = len(all_targets)
k = count_parameters(model) # Total number of trainable parameters
r2 = r2_score(all_targets, all_predictions)
r2_adj = 1 - (1 - r2) * (n - 1) / (n - k - 1)
print(f"R²: {r2:.4f}")
print(f"R² adjusted: {r2_adj:.4f}")
print(f"Number of trainable parameters: {k}")
print(f"Nunmber of measures : {n}")
return r2_adj
def evaluate_model_residues(model, data_loader, criterion):
model.eval()
all_predictions = []
all_targets = []
with torch.no_grad():
for X_batch, y_batch in data_loader:
outputs = model(X_batch)
all_predictions.append(outputs)
all_targets.append(y_batch)
# Concatenate all predictions and targets
all_predictions = torch.cat(all_predictions, dim=0).cpu().numpy().reshape(-1)
all_targets = torch.cat(all_targets, dim=0).cpu().numpy().reshape(-1)
residues = all_targets - all_predictions
# Calculate statistics
mape = mean_absolute_percentage_error(all_targets, all_predictions)
rmse = np.sqrt(mean_squared_error(all_targets, all_predictions))
r2 = r2_score(all_targets, all_predictions)
kurt_stat, kurt_p_value = kurtosistest(residues)
skew_stat, skew_p_value = skewtest(residues)
jb_stat, jb_p_value = jarque_bera(residues)
adf_stat, adf_p_value, _, _, _, _ = adfuller(residues)
kpss_stat, kpss_p_value, _, _ = kpss(residues)
results = {
'MAPE': mape,
'RMSE': rmse,
# 'R2 adj': r2_adj,
'R2': r2,
'Kurtosis (statistic)': kurt_stat,
'Kurtosis (p-value)': kurt_p_value,
'Skewness (statistic)': skew_stat,
'Skewness (p-value)': skew_p_value,
'Jarque-Bera (statistic)': jb_stat,
'Jarque-Bera (p-value)': jb_p_value,
'Dickey Fuller (statistic)': adf_stat,
'Dickey Fuller (p-value)': adf_p_value,
'KPSS test (statistic)': kpss_stat,
'KPSS test (p-value)': kpss_p_value
}
results_df = pd.DataFrame.from_dict(results, orient='index', columns=['Value'])
# Plotting the time series of residues
plt.figure(figsize=(10, 6))
plt.plot(residues)
plt.title('Time Series of Residues')
plt.xlabel('Time')
plt.ylabel('Residues')
plt.show()
# Plotting the histogram of residues
plt.figure(figsize=(10, 6))
sns.histplot(residues, kde=True)
plt.title('Histogram of Residues')
plt.xlabel('Residues')
plt.ylabel('Frequency')
plt.show()
# Q-Q plot of residues
plt.figure(figsize=(10, 6))
sm.qqplot(residues, line='s')
plt.title('Q-Q Plot of Residues')
plt.show()
# ACF plot of residues
plt.figure(figsize=(10, 6))
sm.graphics.tsa.plot_acf(residues, lags=40)
plt.title('Autocorrelation Function (ACF) of Residues')
plt.show()
return residues, results_df
residues, results_df = evaluate_model_residues(lstm_model, test_loader, criterion)
results_df
<Figure size 1000x600 with 0 Axes>
<Figure size 1000x600 with 0 Axes>
| Value | |
|---|---|
| MAPE | 1.182938e+12 |
| RMSE | 1.904038e-02 |
| R2 | 9.357085e-01 |
| Kurtosis (statistic) | 2.404808e+01 |
| Kurtosis (p-value) | 8.743369e-128 |
| Skewness (statistic) | 2.729375e+01 |
| Skewness (p-value) | 5.031937e-164 |
| Jarque-Bera (statistic) | 5.722462e+05 |
| Jarque-Bera (p-value) | 0.000000e+00 |
| Dickey Fuller (statistic) | -1.396510e+01 |
| Dickey Fuller (p-value) | 4.447721e-26 |
| KPSS test (statistic) | 1.102532e-01 |
| KPSS test (p-value) | 1.000000e-01 |
test_predictions, test_targets, test_metrics_df = evaluate_and_create_row(lstm_model, test_loader, criterion, scaler, window_size, "LSTM")
plt.plot(test_predictions.reshape(-1), label='test_predictions')
plt.plot(test_targets.reshape(-1), label='test_targets')
plt.legend()
plt.show()
test_metrics_df
| Model | MAPE | RMSE | R² | R² adj | |
|---|---|---|---|---|---|
| 0 | LSTM | inf | 0.009774 | 0.935709 | 0.934409 |
Modelo MLP Precio#
class MLPModel(nn.Module):
def __init__(self, input_size, hidden_size, output_size):
super(MLPModel, self).__init__()
self.fc1 = nn.Linear(input_size, hidden_size)
self.relu = nn.ReLU()
self.fc2 = nn.Linear(hidden_size, hidden_size)
self.fc3 = nn.Linear(hidden_size, output_size)
def forward(self, x):
out = self.fc1(x)
out = self.relu(out)
out = self.fc2(out)
out = self.relu(out)
out = self.fc3(out)
return out
window_sizes = [7, 14, 21, 28]
training_step_sizes = [7, 14, 21, 28]
validation_steps = 14
test_steps = 14
columns = ['Model', 'MAPE', 'RMSE', 'R²', 'R² adj']
mlp_result_df = pd.DataFrame(columns=columns)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
print(f'Device: {device}')
for window_size, train_steps in itertools.product(window_sizes, training_step_sizes):
print(f'Window Size: {window_size}, Training Step Size: {train_steps}')
model_name = f'mlp_model_{window_size}_{train_steps}.pth'
if os.path.exists(os.path.join(shared_folder_path, model_name)):
checkpoint = torch.load(os.path.join(shared_folder_path, model_name))
valid_metrics_df = checkpoint['valid_metrics_df']
mlp_result_df = pd.concat([mlp_result_df, valid_metrics_df], ignore_index=True)
continue
Xtrains, ytrains, Xvalids, yvalids, Xtests, ytests = create_windows(btc_close_tensor, window_size, train_steps, validation_steps, test_steps)
Xtrains = torch.tensor(Xtrains, dtype=torch.float32).view(-1, train_steps, window_size).to(device)
ytrains = torch.tensor(ytrains, dtype=torch.float32).view(-1, train_steps, 1).to(device)
Xvalids = torch.tensor(Xvalids, dtype=torch.float32).view(-1, validation_steps, window_size).to(device)
yvalids = torch.tensor(yvalids, dtype=torch.float32).view(-1, validation_steps, 1).to(device)
Xtests = torch.tensor(Xtests, dtype=torch.float32).view(-1, test_steps, window_size).to(device)
ytests = torch.tensor(ytests, dtype=torch.float32).view(-1, test_steps, 1).to(device)
train_dataset = TensorDataset(Xtrains, ytrains)
valid_dataset = TensorDataset(Xvalids, yvalids)
test_dataset = TensorDataset(Xtests, ytests)
batch_size = 1
train_loader_original = DataLoader(train_dataset, batch_size=batch_size, shuffle=False)
train_loader = DataLoader(train_dataset, batch_size=batch_size, shuffle=True)
valid_loader = DataLoader(valid_dataset, batch_size=batch_size, shuffle=False)
test_loader = DataLoader(test_dataset, batch_size=batch_size, shuffle=False)
input_size = window_size # Each feature is a single value (univariate time series)
hidden_size = 50
output_size = 1
model = MLPModel(input_size, hidden_size, output_size).to(device)
num_epochs = 10
learning_rate = 0.01
criterion = nn.MSELoss()
optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)
for epoch in range(num_epochs):
model.train()
epoch_loss = 0
for X_batch, y_batch in train_loader:
optimizer.zero_grad() # Zero out the gradients for the next batch
outputs = model(X_batch)
loss = criterion(outputs, y_batch)
loss.backward() # Backpropagation
optimizer.step() # Optimize the weights
epoch_loss += loss.item()
if (epoch + 1) % 10 == 0:
avg_loss = epoch_loss / len(train_loader)
print(f'Epoch [{epoch + 1}/{num_epochs}], Loss: {avg_loss:.4f}')
model_name = f'mlp_model_{window_size}_{train_steps}.pth'
_, _, valid_metrics_df = evaluate_and_create_row(model, valid_loader, criterion, scaler, window_size, model_name)
mlp_result_df = pd.concat([mlp_result_df, valid_metrics_df], ignore_index=True)
torch.save({
'input_size': input_size,
'hidden_size': hidden_size,
'output_size': output_size,
'num_layers': num_layers,
'test_loader': test_loader,
'valid_metrics_df': valid_metrics_df,
'state_dict': model.state_dict()
}, os.path.join(shared_folder_path, model_name))
Device: cpu
Window Size: 7, Training Step Size: 7
Epoch [10/10], Loss: 0.0007
Window Size: 7, Training Step Size: 14
Epoch [10/10], Loss: 0.0013
Window Size: 7, Training Step Size: 21
Epoch [10/10], Loss: 0.0020
Window Size: 7, Training Step Size: 28
Epoch [10/10], Loss: 0.0021
Window Size: 14, Training Step Size: 7
Epoch [10/10], Loss: 0.0006
Window Size: 14, Training Step Size: 14
Epoch [10/10], Loss: 0.0142
Window Size: 14, Training Step Size: 21
Epoch [10/10], Loss: 0.0011
Window Size: 14, Training Step Size: 28
Epoch [10/10], Loss: 0.0019
Window Size: 21, Training Step Size: 7
Epoch [10/10], Loss: 0.0008
Window Size: 21, Training Step Size: 14
Epoch [10/10], Loss: 0.0029
Window Size: 21, Training Step Size: 21
Epoch [10/10], Loss: 0.0019
Window Size: 21, Training Step Size: 28
Epoch [10/10], Loss: 0.0009
Window Size: 28, Training Step Size: 7
Epoch [10/10], Loss: 0.0014
Window Size: 28, Training Step Size: 14
Epoch [10/10], Loss: 0.0231
Window Size: 28, Training Step Size: 21
Epoch [10/10], Loss: 0.0044
Window Size: 28, Training Step Size: 28
Epoch [10/10], Loss: 0.0008
mlp_result_df
| Model | MAPE | RMSE | R² | R² adj | |
|---|---|---|---|---|---|
| 0 | mlp_model_7_7.pth | inf | 0.025140 | 0.949181 | 0.949001 |
| 1 | mlp_model_7_14.pth | inf | 0.011176 | 0.989584 | 0.989540 |
| 2 | mlp_model_7_21.pth | inf | 0.013194 | 0.985055 | 0.984981 |
| 3 | mlp_model_7_28.pth | inf | 0.026817 | 0.935885 | 0.935518 |
| 4 | mlp_model_14_7.pth | inf | 0.017676 | 0.973935 | 0.973750 |
| 5 | mlp_model_14_14.pth | inf | 0.038839 | 0.872002 | 0.870908 |
| 6 | mlp_model_14_21.pth | inf | 0.013422 | 0.984133 | 0.983974 |
| 7 | mlp_model_14_28.pth | inf | 0.040673 | 0.851882 | 0.850178 |
| 8 | mlp_model_21_7.pth | inf | 0.009296 | 0.992595 | 0.992515 |
| 9 | mlp_model_21_14.pth | inf | 0.010690 | 0.989977 | 0.989847 |
| 10 | mlp_model_21_21.pth | inf | 0.010882 | 0.989750 | 0.989596 |
| 11 | mlp_model_21_28.pth | inf | 0.040342 | 0.847280 | 0.844599 |
| 12 | mlp_model_28_7.pth | inf | 0.017345 | 0.973526 | 0.973145 |
| 13 | mlp_model_28_14.pth | inf | 0.048571 | 0.790669 | 0.787026 |
| 14 | mlp_model_28_21.pth | inf | 0.030094 | 0.918313 | 0.916645 |
| 15 | mlp_model_28_28.pth | inf | 0.014633 | 0.981662 | 0.981235 |
# Identify the model with the smallest R² adjusted value
model_with_min_r2_adj = mlp_result_df.loc[mlp_result_df['R² adj'].idxmax(), 'Model']
print(f"Model with the smallest R² adjusted: {model_with_min_r2_adj}")
checkpoint = torch.load(os.path.join(shared_folder_path, model_with_min_r2_adj))
input_size = checkpoint['input_size']
hidden_size = checkpoint['hidden_size']
output_size = checkpoint['output_size']
num_layers = checkpoint['num_layers']
test_loader = checkpoint['test_loader']
mlp_model = MLPModel(input_size, hidden_size, output_size)
mlp_model.load_state_dict(checkpoint['state_dict'])
mlp_model.to(device)
print("Model loaded successfully!")
residues, results_df = evaluate_model_residues(mlp_model, test_loader, criterion)
results_df
Model with the smallest R² adjusted: mlp_model_21_7.pth
Model loaded successfully!
<Figure size 1000x600 with 0 Axes>
<Figure size 1000x600 with 0 Axes>
| Value | |
|---|---|
| MAPE | 7.532919e+09 |
| RMSE | 2.381426e-02 |
| R2 | 9.868507e-01 |
| Kurtosis (statistic) | 2.063350e+01 |
| Kurtosis (p-value) | 1.373410e-94 |
| Skewness (statistic) | 1.927037e+01 |
| Skewness (p-value) | 9.524825e-83 |
| Jarque-Bera (statistic) | 1.706187e+04 |
| Jarque-Bera (p-value) | 0.000000e+00 |
| Dickey Fuller (statistic) | -7.743513e+00 |
| Dickey Fuller (p-value) | 1.046633e-11 |
| KPSS test (statistic) | 2.732382e-01 |
| KPSS test (p-value) | 1.000000e-01 |
test_predictions, test_targets, test_metrics_df = evaluate_and_create_row(mlp_model, test_loader, criterion, scaler, window_size, "MLP")
plt.plot(test_predictions.reshape(-1), label='test_predictions')
plt.plot(test_targets.reshape(-1), label='test_targets')
plt.legend()
plt.show()
test_metrics_df
| Model | MAPE | RMSE | R² | R² adj | |
|---|---|---|---|---|---|
| 0 | MLP | inf | 0.012224 | 0.986851 | 0.986661 |
MLP Retornos acumulados#
window_sizes = [7, 14, 21, 28]
training_step_sizes = [7, 14, 21, 28]
validation_steps = 14
test_steps = 14
columns = ['Model', 'MAPE', 'RMSE', 'R²', 'R² adj']
mlp_result_df = pd.DataFrame(columns=columns)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
print(f'Device: {device}')
for window_size, train_steps in itertools.product(window_sizes, training_step_sizes):
print(f'Window Size: {window_size}, Training Step Size: {train_steps}')
model_name = f'mlp_modelAt_{window_size}_{train_steps}.pth'
if os.path.exists(os.path.join(shared_folder_path, model_name)):
checkpoint = torch.load(os.path.join(shared_folder_path, model_name))
valid_metrics_df = checkpoint['valid_metrics_df']
mlp_result_dfAt = pd.concat([mlp_result_df, valid_metrics_df], ignore_index=True)
continue
Xtrains, ytrains, Xvalids, yvalids, Xtests, ytests = create_windows(btc_At_tensor, window_size, train_steps, validation_steps, test_steps)
Xtrains = torch.tensor(Xtrains, dtype=torch.float32).view(-1, train_steps, window_size).to(device)
ytrains = torch.tensor(ytrains, dtype=torch.float32).view(-1, train_steps, 1).to(device)
Xvalids = torch.tensor(Xvalids, dtype=torch.float32).view(-1, validation_steps, window_size).to(device)
yvalids = torch.tensor(yvalids, dtype=torch.float32).view(-1, validation_steps, 1).to(device)
Xtests = torch.tensor(Xtests, dtype=torch.float32).view(-1, test_steps, window_size).to(device)
ytests = torch.tensor(ytests, dtype=torch.float32).view(-1, test_steps, 1).to(device)
train_dataset = TensorDataset(Xtrains, ytrains)
valid_dataset = TensorDataset(Xvalids, yvalids)
test_dataset = TensorDataset(Xtests, ytests)
batch_size = 1
train_loader_original = DataLoader(train_dataset, batch_size=batch_size, shuffle=False)
train_loader = DataLoader(train_dataset, batch_size=batch_size, shuffle=True)
valid_loader = DataLoader(valid_dataset, batch_size=batch_size, shuffle=False)
test_loader = DataLoader(test_dataset, batch_size=batch_size, shuffle=False)
input_size = window_size # Each feature is a single value (univariate time series)
hidden_size = 50
output_size = 1
model = MLPModel(input_size, hidden_size, output_size).to(device)
num_epochs = 10
learning_rate = 0.1
criterion = nn.MSELoss()
optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)
for epoch in range(num_epochs):
model.train()
epoch_loss = 0
for X_batch, y_batch in train_loader:
optimizer.zero_grad() # Zero out the gradients for the next batch
outputs = model(X_batch)
loss = criterion(outputs, y_batch)
loss.backward() # Backpropagation
optimizer.step() # Optimize the weights
epoch_loss += loss.item()
if (epoch + 1) % 10 == 0:
avg_loss = epoch_loss / len(train_loader)
print(f'Epoch [{epoch + 1}/{num_epochs}], Loss: {avg_loss:.4f}')
model_name = f'mlp_model_{window_size}_{train_steps}.pth'
_, _, valid_metrics_df = evaluate_and_create_row(model, valid_loader, criterion, scaler, window_size, model_name)
mlp_result_df = pd.concat([mlp_result_df, valid_metrics_df], ignore_index=True)
torch.save({
'input_size': input_size,
'hidden_size': hidden_size,
'output_size': output_size,
'num_layers': num_layers,
'test_loader': test_loader,
'valid_metrics_df': valid_metrics_df,
'state_dict': model.state_dict()
}, os.path.join(shared_folder_path, model_name))
Device: cpu
Window Size: 7, Training Step Size: 7
Epoch [10/10], Loss: 0.0006
Window Size: 7, Training Step Size: 14
Epoch [10/10], Loss: 0.0009
Window Size: 7, Training Step Size: 21
Epoch [10/10], Loss: 0.0005
Window Size: 7, Training Step Size: 28
Epoch [10/10], Loss: 0.0019
Window Size: 14, Training Step Size: 7
Epoch [10/10], Loss: 0.0010
Window Size: 14, Training Step Size: 14
Epoch [10/10], Loss: 0.0016
Window Size: 14, Training Step Size: 21
Epoch [10/10], Loss: 0.0025
Window Size: 14, Training Step Size: 28
Epoch [10/10], Loss: 0.0006
Window Size: 21, Training Step Size: 7
Epoch [10/10], Loss: 0.0024
Window Size: 21, Training Step Size: 14
Epoch [10/10], Loss: 0.0025
Window Size: 21, Training Step Size: 21
Epoch [10/10], Loss: 0.0011
Window Size: 21, Training Step Size: 28
Epoch [10/10], Loss: 0.0007
Window Size: 28, Training Step Size: 7
Epoch [10/10], Loss: 0.0014
Window Size: 28, Training Step Size: 14
Epoch [10/10], Loss: 0.0044
Window Size: 28, Training Step Size: 21
Epoch [10/10], Loss: 0.0012
Window Size: 28, Training Step Size: 28
Epoch [10/10], Loss: 0.0010
mlp_result_df
| Model | MAPE | RMSE | R² | R² adj | |
|---|---|---|---|---|---|
| 0 | mlp_model_7_7.pth | 2.600650 | 0.009104 | 0.993787 | 0.993765 |
| 1 | mlp_model_7_14.pth | 2.654518 | 0.008538 | 0.994494 | 0.994471 |
| 2 | mlp_model_7_21.pth | 2.787819 | 0.008258 | 0.994869 | 0.994843 |
| 3 | mlp_model_7_28.pth | 19.551395 | 0.041056 | 0.871163 | 0.870427 |
| 4 | mlp_model_14_7.pth | 9.141077 | 0.028364 | 0.939768 | 0.939340 |
| 5 | mlp_model_14_14.pth | inf | 0.011752 | 0.989505 | 0.989415 |
| 6 | mlp_model_14_21.pth | 5.164994 | 0.015296 | 0.982248 | 0.982071 |
| 7 | mlp_model_14_28.pth | inf | 0.009398 | 0.993369 | 0.993293 |
| 8 | mlp_model_21_7.pth | inf | 0.027327 | 0.943104 | 0.942492 |
| 9 | mlp_model_21_14.pth | 8.551211 | 0.023637 | 0.958346 | 0.957810 |
| 10 | mlp_model_21_21.pth | 7.627009 | 0.018603 | 0.974225 | 0.973836 |
| 11 | mlp_model_21_28.pth | 3.340427 | 0.009426 | 0.993238 | 0.993119 |
| 12 | mlp_model_28_7.pth | 6.846010 | 0.020286 | 0.969088 | 0.968643 |
| 13 | mlp_model_28_14.pth | 8.938474 | 0.027432 | 0.942869 | 0.941874 |
| 14 | mlp_model_28_21.pth | 4.546390 | 0.013368 | 0.986671 | 0.986399 |
| 15 | mlp_model_28_28.pth | 17.915838 | 0.051876 | 0.798277 | 0.793581 |
# Identify the model with the smallest R² adjusted value
model_with_min_r2_adj = mlp_result_df.loc[mlp_result_df['R² adj'].idxmax(), 'Model']
print(f"Model with the smallest R² adjusted: {model_with_min_r2_adj}")
checkpoint = torch.load(os.path.join(shared_folder_path, model_with_min_r2_adj))
input_size = checkpoint['input_size']
hidden_size = checkpoint['hidden_size']
output_size = checkpoint['output_size']
num_layers = checkpoint['num_layers']
test_loader = checkpoint['test_loader']
mlp_model = MLPModel(input_size, hidden_size, output_size)
mlp_model.load_state_dict(checkpoint['state_dict'])
mlp_model.to(device)
print("Model loaded successfully!")
residues, results_df = evaluate_model_residues(mlp_model, test_loader, criterion)
results_df
Model with the smallest R² adjusted: mlp_model_7_21.pth
Model loaded successfully!
<Figure size 1000x600 with 0 Axes>
<Figure size 1000x600 with 0 Axes>
| Value | |
|---|---|
| MAPE | 1.810746e+12 |
| RMSE | 2.189381e-02 |
| R2 | 9.888749e-01 |
| Kurtosis (statistic) | 1.551890e+01 |
| Kurtosis (p-value) | 2.584314e-54 |
| Skewness (statistic) | -1.801163e+01 |
| Skewness (p-value) | 1.579174e-72 |
| Jarque-Bera (statistic) | 5.248651e+03 |
| Jarque-Bera (p-value) | 0.000000e+00 |
| Dickey Fuller (statistic) | -5.766009e+00 |
| Dickey Fuller (p-value) | 5.530759e-07 |
| KPSS test (statistic) | 2.569018e+00 |
| KPSS test (p-value) | 1.000000e-02 |
test_predictions, test_targets, test_metrics_df = evaluate_and_create_row(mlp_model, test_loader, criterion, scaler, window_size, "MLP")
test_predictions, test_targets, test_metrics_df = evaluate_and_create_row(mlp_model, test_loader, criterion, scaler, window_size, "MLP")
plt.plot(test_predictions.reshape(-1), label='test_predictions')
plt.plot(test_targets.reshape(-1), label='test_targets')
plt.legend()
plt.show()
test_metrics_df
| Model | MAPE | RMSE | R² | R² adj | |
|---|---|---|---|---|---|
| 0 | MLP | inf | 0.011239 | 0.988875 | 0.98865 |
MLP Volatilidad#
window_sizes = [7, 14, 21, 28]
training_step_sizes = [7, 14, 21, 28]
validation_steps = 14
test_steps = 14
columns = ['Model', 'MAPE', 'RMSE', 'R²', 'R² adj']
mlp_result_df = pd.DataFrame(columns=columns)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
print(f'Device: {device}')
for window_size, train_steps in itertools.product(window_sizes, training_step_sizes):
print(f'Window Size: {window_size}, Training Step Size: {train_steps}')
model_name = f'mlp_modelVol_{window_size}_{train_steps}.pth'
if os.path.exists(os.path.join(shared_folder_path, model_name)):
checkpoint = torch.load(os.path.join(shared_folder_path, model_name))
valid_metrics_df = checkpoint['valid_metrics_df']
mlp_result_dfAt = pd.concat([mlp_result_df, valid_metrics_df], ignore_index=True)
continue
Xtrains, ytrains, Xvalids, yvalids, Xtests, ytests = create_windows(btc_Vol_tensor, window_size, train_steps, validation_steps, test_steps)
Xtrains = torch.tensor(Xtrains, dtype=torch.float32).view(-1, train_steps, window_size).to(device)
ytrains = torch.tensor(ytrains, dtype=torch.float32).view(-1, train_steps, 1).to(device)
Xvalids = torch.tensor(Xvalids, dtype=torch.float32).view(-1, validation_steps, window_size).to(device)
yvalids = torch.tensor(yvalids, dtype=torch.float32).view(-1, validation_steps, 1).to(device)
Xtests = torch.tensor(Xtests, dtype=torch.float32).view(-1, test_steps, window_size).to(device)
ytests = torch.tensor(ytests, dtype=torch.float32).view(-1, test_steps, 1).to(device)
train_dataset = TensorDataset(Xtrains, ytrains)
valid_dataset = TensorDataset(Xvalids, yvalids)
test_dataset = TensorDataset(Xtests, ytests)
batch_size = 7
train_loader_original = DataLoader(train_dataset, batch_size=batch_size, shuffle=False)
train_loader = DataLoader(train_dataset, batch_size=batch_size, shuffle=True)
valid_loader = DataLoader(valid_dataset, batch_size=batch_size, shuffle=False)
test_loader = DataLoader(test_dataset, batch_size=batch_size, shuffle=False)
input_size = window_size # Each feature is a single value (univariate time series)
hidden_size = 50
output_size = 1
model = MLPModel(input_size, hidden_size, output_size).to(device)
num_epochs = 50
learning_rate = 0.01
criterion = nn.MSELoss()
optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)
for epoch in range(num_epochs):
model.train()
epoch_loss = 0
for X_batch, y_batch in train_loader:
optimizer.zero_grad() # Zero out the gradients for the next batch
outputs = model(X_batch)
loss = criterion(outputs, y_batch)
loss.backward() # Backpropagation
optimizer.step() # Optimize the weights
epoch_loss += loss.item()
if (epoch + 1) % 10 == 0:
avg_loss = epoch_loss / len(train_loader)
print(f'Epoch [{epoch + 1}/{num_epochs}], Loss: {avg_loss:.4f}')
model_name = f'mlp_model_{window_size}_{train_steps}.pth'
_, _, valid_metrics_df = evaluate_and_create_row(model, valid_loader, criterion, scaler, window_size, model_name)
mlp_result_df = pd.concat([mlp_result_df, valid_metrics_df], ignore_index=True)
torch.save({
'input_size': input_size,
'hidden_size': hidden_size,
'output_size': output_size,
'num_layers': num_layers,
'test_loader': test_loader,
'valid_metrics_df': valid_metrics_df,
'state_dict': model.state_dict()
}, os.path.join(shared_folder_path, model_name))
Device: cpu
Window Size: 7, Training Step Size: 7
Epoch [10/50], Loss: nan
Epoch [20/50], Loss: nan
Epoch [30/50], Loss: nan
Epoch [40/50], Loss: nan
Epoch [50/50], Loss: nan
Window Size: 7, Training Step Size: 14
Epoch [10/50], Loss: nan
Epoch [20/50], Loss: nan
Epoch [30/50], Loss: nan
Epoch [40/50], Loss: nan
Epoch [50/50], Loss: nan
Window Size: 7, Training Step Size: 21
Epoch [10/50], Loss: 0.0004
Epoch [20/50], Loss: 0.0003
Epoch [30/50], Loss: 0.0003
Epoch [40/50], Loss: 0.0004
Epoch [50/50], Loss: 0.0003
Window Size: 7, Training Step Size: 28
Epoch [10/50], Loss: 0.0004
Epoch [20/50], Loss: 0.0005
Epoch [30/50], Loss: 0.0004
Epoch [40/50], Loss: 0.0003
Epoch [50/50], Loss: 0.0004
Window Size: 14, Training Step Size: 7
Epoch [10/50], Loss: nan
Epoch [20/50], Loss: nan
Epoch [30/50], Loss: nan
Epoch [40/50], Loss: nan
Epoch [50/50], Loss: nan
Window Size: 14, Training Step Size: 14
Epoch [10/50], Loss: 0.0010
Epoch [20/50], Loss: 0.0006
Epoch [30/50], Loss: 0.0004
Epoch [40/50], Loss: 0.0003
Epoch [50/50], Loss: 0.0003
Window Size: 14, Training Step Size: 21
Epoch [10/50], Loss: 0.0008
Epoch [20/50], Loss: 0.0005
Epoch [30/50], Loss: 0.0003
Epoch [40/50], Loss: 0.0003
Epoch [50/50], Loss: 0.0004
Window Size: 14, Training Step Size: 28
Epoch [10/50], Loss: 0.0005
Epoch [20/50], Loss: 0.0007
Epoch [30/50], Loss: 0.0003
Epoch [40/50], Loss: 0.0006
Epoch [50/50], Loss: 0.0003
Window Size: 21, Training Step Size: 7
Epoch [10/50], Loss: 0.0007
Epoch [20/50], Loss: 0.0006
Epoch [30/50], Loss: 0.0006
Epoch [40/50], Loss: 0.0003
Epoch [50/50], Loss: 0.0004
Window Size: 21, Training Step Size: 14
Epoch [10/50], Loss: 0.0005
Epoch [20/50], Loss: 0.0005
Epoch [30/50], Loss: 0.0006
Epoch [40/50], Loss: 0.0004
Epoch [50/50], Loss: 0.0008
Window Size: 21, Training Step Size: 21
Epoch [10/50], Loss: 0.0016
Epoch [20/50], Loss: 0.0015
Epoch [30/50], Loss: 0.0005
Epoch [40/50], Loss: 0.0007
Epoch [50/50], Loss: 0.0004
Window Size: 21, Training Step Size: 28
Epoch [10/50], Loss: 0.0007
Epoch [20/50], Loss: 0.0009
Epoch [30/50], Loss: 0.0004
Epoch [40/50], Loss: 0.0004
Epoch [50/50], Loss: 0.0003
Window Size: 28, Training Step Size: 7
Epoch [10/50], Loss: 0.0031
Epoch [20/50], Loss: 0.0021
Epoch [30/50], Loss: 0.0003
Epoch [40/50], Loss: 0.0003
Epoch [50/50], Loss: 0.0007
Window Size: 28, Training Step Size: 14
Epoch [10/50], Loss: 0.0005
Epoch [20/50], Loss: 0.0004
Epoch [30/50], Loss: 0.0008
Epoch [40/50], Loss: 0.0003
Epoch [50/50], Loss: 0.0002
Window Size: 28, Training Step Size: 21
Epoch [10/50], Loss: 0.0006
Epoch [20/50], Loss: 0.0008
Epoch [30/50], Loss: 0.0005
Epoch [40/50], Loss: 0.0003
Epoch [50/50], Loss: 0.0003
Window Size: 28, Training Step Size: 28
Epoch [10/50], Loss: 0.0008
Epoch [20/50], Loss: 0.0004
Epoch [30/50], Loss: 0.0005
Epoch [40/50], Loss: 0.0012
Epoch [50/50], Loss: 0.0007
mlp_result_df
| Model | MAPE | RMSE | R² | R² adj | |
|---|---|---|---|---|---|
| 0 | mlp_model_7_7.pth | NaN | NaN | NaN | NaN |
| 1 | mlp_model_7_14.pth | NaN | NaN | NaN | NaN |
| 2 | mlp_model_7_21.pth | inf | 0.008310 | 0.953283 | 0.953051 |
| 3 | mlp_model_7_28.pth | inf | 0.008817 | 0.940854 | 0.940516 |
| 4 | mlp_model_14_7.pth | NaN | NaN | NaN | NaN |
| 5 | mlp_model_14_14.pth | inf | 0.011813 | 0.911284 | 0.910526 |
| 6 | mlp_model_14_21.pth | inf | 0.011646 | 0.954877 | 0.954425 |
| 7 | mlp_model_14_28.pth | inf | 0.010318 | 0.929886 | 0.929080 |
| 8 | mlp_model_21_7.pth | inf | 0.010634 | 0.957256 | 0.956797 |
| 9 | mlp_model_21_14.pth | inf | 0.014926 | 0.873989 | 0.872366 |
| 10 | mlp_model_21_21.pth | inf | 0.011111 | 0.916910 | 0.915657 |
| 11 | mlp_model_21_28.pth | inf | 0.008477 | 0.937793 | 0.936701 |
| 12 | mlp_model_28_7.pth | inf | 0.016378 | 0.820654 | 0.818073 |
| 13 | mlp_model_28_14.pth | inf | 0.010034 | 0.958976 | 0.958262 |
| 14 | mlp_model_28_21.pth | inf | 0.010965 | 0.919818 | 0.918181 |
| 15 | mlp_model_28_28.pth | inf | 0.019462 | 0.869254 | 0.866211 |
# Identify the model with the smallest R² adjusted value
model_with_min_r2_adj = mlp_result_df.loc[mlp_result_df['R² adj'].idxmax(), 'Model']
print(f"Model with the smallest R² adjusted: {model_with_min_r2_adj}")
checkpoint = torch.load(os.path.join(shared_folder_path, model_with_min_r2_adj))
input_size = checkpoint['input_size']
hidden_size = checkpoint['hidden_size']
output_size = checkpoint['output_size']
num_layers = checkpoint['num_layers']
test_loader = checkpoint['test_loader']
mlp_model = MLPModel(input_size, hidden_size, output_size)
mlp_model.load_state_dict(checkpoint['state_dict'])
mlp_model.to(device)
print("Model loaded successfully!")
residues, results_df = evaluate_model_residues(mlp_model, test_loader, criterion)
results_df
Model with the smallest R² adjusted: mlp_model_28_14.pth
Model loaded successfully!
<Figure size 1000x600 with 0 Axes>
<Figure size 1000x600 with 0 Axes>
| Value | |
|---|---|
| MAPE | 2.255461e+12 |
| RMSE | 2.088961e-02 |
| R2 | 9.272416e-01 |
| Kurtosis (statistic) | 2.569269e+01 |
| Kurtosis (p-value) | 1.410975e-145 |
| Skewness (statistic) | -2.008551e+01 |
| Skewness (p-value) | 9.879929e-90 |
| Jarque-Bera (statistic) | 6.136240e+05 |
| Jarque-Bera (p-value) | 0.000000e+00 |
| Dickey Fuller (statistic) | -1.652867e+01 |
| Dickey Fuller (p-value) | 2.033026e-29 |
| KPSS test (statistic) | 5.699540e-01 |
| KPSS test (p-value) | 2.591125e-02 |
test_predictions, test_targets, test_metrics_df = evaluate_and_create_row(mlp_model, test_loader, criterion, scaler, window_size, "MLP")
plt.plot(test_predictions.reshape(-1), label='test_predictions')
plt.plot(test_targets.reshape(-1), label='test_targets')
plt.legend()
plt.show()
test_metrics_df
| Model | MAPE | RMSE | R² | R² adj | |
|---|---|---|---|---|---|
| 0 | MLP | inf | 0.010723 | 0.927242 | 0.925975 |
RNN Precio#
import torch
import torch.nn as nn
import os
import itertools
import pandas as pd
from torch.utils.data import DataLoader, TensorDataset
def evaluate_and_create_row(model, loader, criterion, scaler, window_size, model_name):
model.eval()
all_predictions = []
all_targets = []
with torch.no_grad():
for X_batch, y_batch in loader:
outputs = model(X_batch)
all_predictions.append(outputs.cpu().numpy())
all_targets.append(y_batch.cpu().numpy())
# Aplanar las listas de predicciones y etiquetas
all_predictions = np.concatenate(all_predictions, axis=0).reshape(-1)
all_targets = np.concatenate(all_targets, axis=0).reshape(-1)
# Aseguramos que ambas listas tengan el mismo tamaño
min_length = min(len(all_targets), len(all_predictions))
all_targets = all_targets[:min_length]
all_predictions = all_predictions[:min_length]
# Calculamos las métricas
n = len(all_targets)
p = window_size
mape, rmse, r2, r2_adj = calculate_metrics(all_targets, all_predictions, n, p)
metrics_df = pd.DataFrame({
'Model': [model_name],
'MAPE': [mape],
'RMSE': [rmse],
'R²': [r2],
'R² adj': [r2_adj]
})
return all_predictions, all_targets, metrics_df
# Definimos la clase de la RNN
class RNNModel(nn.Module):
def __init__(self, input_size, hidden_size, output_size, num_layers=1):
super(RNNModel, self).__init__()
self.hidden_size = hidden_size
self.num_layers = num_layers
self.rnn = nn.RNN(input_size, hidden_size, num_layers, batch_first=True)
self.fc = nn.Linear(hidden_size, output_size)
def forward(self, x):
h0 = torch.zeros(self.num_layers, x.size(0), self.hidden_size).to(x.device)
out, _ = self.rnn(x, h0)
out = self.fc(out[:, -1, :]) # Tomamos solo la última salida
return out
# Configuración y parámetros
window_sizes = [7, 14, 21, 28]
training_step_sizes = [7, 14, 21, 28]
validation_steps = 14
test_steps = 14
columns = ['Model', 'MAPE', 'RMSE', 'R²', 'R² adj']
mlp_result_df = pd.DataFrame(columns=columns)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
print(f'Device: {device}')
for window_size, train_steps in itertools.product(window_sizes, training_step_sizes):
print(f'Window Size: {window_size}, Training Step Size: {train_steps}')
model_name = f'rnn_model_{window_size}_{train_steps}.pth'
if os.path.exists(os.path.join(shared_folder_path, model_name)):
checkpoint = torch.load(os.path.join(shared_folder_path, model_name))
valid_metrics_df = checkpoint['valid_metrics_df']
mlp_result_df = pd.concat([mlp_result_df, valid_metrics_df], ignore_index=True)
continue
# Preparamos las ventanas de datos
Xtrains, ytrains, Xvalids, yvalids, Xtests, ytests = create_windows(btc_close_tensor, window_size, train_steps, validation_steps, test_steps)
Xtrains = torch.tensor(Xtrains, dtype=torch.float32).view(-1, train_steps, window_size).to(device)
ytrains = torch.tensor(ytrains, dtype=torch.float32).view(-1, train_steps, 1).to(device)
Xvalids = torch.tensor(Xvalids, dtype=torch.float32).view(-1, validation_steps, window_size).to(device)
yvalids = torch.tensor(yvalids, dtype=torch.float32).view(-1, validation_steps, 1).to(device)
Xtests = torch.tensor(Xtests, dtype=torch.float32).view(-1, test_steps, window_size).to(device)
ytests = torch.tensor(ytests, dtype=torch.float32).view(-1, test_steps, 1).to(device)
# Configuración del DataLoader
batch_size = 1
train_loader = DataLoader(TensorDataset(Xtrains, ytrains), batch_size=batch_size, shuffle=True)
valid_loader = DataLoader(TensorDataset(Xvalids, yvalids), batch_size=batch_size, shuffle=False)
test_loader = DataLoader(TensorDataset(Xtests, ytests), batch_size=batch_size, shuffle=False)
# Parámetros de la RNN
input_size = window_size
hidden_size = 10
output_size = 1
num_layers = 1
# Definimos el modelo
model = RNNModel(input_size, hidden_size, output_size, num_layers).to(device)
criterion = nn.MSELoss()
optimizer = torch.optim.Adam(model.parameters(), lr=0.01)
# Entrenamiento de la RNN
num_epochs = 100
for epoch in range(num_epochs):
model.train()
epoch_loss = 0
for X_batch, y_batch in train_loader:
optimizer.zero_grad()
outputs = model(X_batch)
loss = criterion(outputs, y_batch)
loss.backward()
optimizer.step()
epoch_loss += loss.item()
if (epoch + 1) % 10 == 0:
avg_loss = epoch_loss / len(train_loader)
print(f'Epoch [{epoch + 1}/{num_epochs}], Loss: {avg_loss:.4f}')
# Guardado del modelo
_, _, valid_metrics_df = evaluate_and_create_row(model, valid_loader, criterion, scaler, window_size, model_name)
mlp_result_df = pd.concat([mlp_result_df, valid_metrics_df], ignore_index=True)
torch.save({
'input_size': input_size,
'hidden_size': hidden_size,
'output_size': output_size,
'num_layers': num_layers,
'test_loader': test_loader,
'valid_metrics_df': valid_metrics_df,
'state_dict': model.state_dict()
}, os.path.join(shared_folder_path, model_name))
Device: cpu
Window Size: 7, Training Step Size: 7
Epoch [10/100], Loss: 0.0003
Epoch [20/100], Loss: 0.0001
Epoch [30/100], Loss: 0.0001
Epoch [40/100], Loss: 0.0002
Epoch [50/100], Loss: 0.0003
Epoch [60/100], Loss: 0.0002
Epoch [70/100], Loss: 0.0043
Epoch [80/100], Loss: 0.0007
Epoch [90/100], Loss: 0.0002
Epoch [100/100], Loss: 0.0033
Window Size: 7, Training Step Size: 14
Epoch [10/100], Loss: 0.0013
Epoch [20/100], Loss: 0.0009
Epoch [30/100], Loss: 0.0003
Epoch [40/100], Loss: 0.0003
Epoch [50/100], Loss: 0.0005
Epoch [60/100], Loss: 0.0008
Epoch [70/100], Loss: 0.0004
Epoch [80/100], Loss: 0.0004
Epoch [90/100], Loss: 0.0013
Epoch [100/100], Loss: 0.0004
Window Size: 7, Training Step Size: 21
Epoch [10/100], Loss: 0.0016
Epoch [20/100], Loss: 0.0025
Epoch [30/100], Loss: 0.0008
Epoch [40/100], Loss: 0.0007
Epoch [50/100], Loss: 0.0008
Epoch [60/100], Loss: 0.0009
Epoch [70/100], Loss: 0.0006
Epoch [80/100], Loss: 0.0008
Epoch [90/100], Loss: 0.0012
Epoch [100/100], Loss: 0.0007
Window Size: 7, Training Step Size: 28
Epoch [10/100], Loss: 0.0013
Epoch [20/100], Loss: 0.0020
Epoch [30/100], Loss: 0.0013
Epoch [40/100], Loss: 0.0010
Epoch [50/100], Loss: 0.0011
Epoch [60/100], Loss: 0.0013
Epoch [70/100], Loss: 0.0014
Epoch [80/100], Loss: 0.0075
Epoch [90/100], Loss: 0.0012
Epoch [100/100], Loss: 0.0014
Window Size: 14, Training Step Size: 7
Epoch [10/100], Loss: 0.0010
Epoch [20/100], Loss: 0.0014
Epoch [30/100], Loss: 0.0005
Epoch [40/100], Loss: 0.0007
Epoch [50/100], Loss: 0.0009
Epoch [60/100], Loss: 0.0006
Epoch [70/100], Loss: 0.0016
Epoch [80/100], Loss: 0.0003
Epoch [90/100], Loss: 0.0010
Epoch [100/100], Loss: 0.0006
Window Size: 14, Training Step Size: 14
Epoch [10/100], Loss: 0.0002
Epoch [20/100], Loss: 0.0004
Epoch [30/100], Loss: 0.0005
Epoch [40/100], Loss: 0.0003
Epoch [50/100], Loss: 0.0004
Epoch [60/100], Loss: 0.0003
Epoch [70/100], Loss: 0.0014
Epoch [80/100], Loss: 0.0004
Epoch [90/100], Loss: 0.0005
Epoch [100/100], Loss: 0.0003
Window Size: 14, Training Step Size: 21
Epoch [10/100], Loss: 0.0005
Epoch [20/100], Loss: 0.0008
Epoch [30/100], Loss: 0.0007
Epoch [40/100], Loss: 0.0180
Epoch [50/100], Loss: 0.0004
Epoch [60/100], Loss: 0.0021
Epoch [70/100], Loss: 0.0038
Epoch [80/100], Loss: 0.0006
Epoch [90/100], Loss: 0.0005
Epoch [100/100], Loss: 0.0004
Window Size: 14, Training Step Size: 28
Epoch [10/100], Loss: 0.0011
Epoch [20/100], Loss: 0.0023
Epoch [30/100], Loss: 0.0016
Epoch [40/100], Loss: 0.0014
Epoch [50/100], Loss: 0.0009
Epoch [60/100], Loss: 0.0017
Epoch [70/100], Loss: 0.0007
Epoch [80/100], Loss: 0.0036
Epoch [90/100], Loss: 0.0009
Epoch [100/100], Loss: 0.0017
Window Size: 21, Training Step Size: 7
Epoch [10/100], Loss: 0.0065
Epoch [20/100], Loss: 0.0002
Epoch [30/100], Loss: 0.0007
Epoch [40/100], Loss: 0.0002
Epoch [50/100], Loss: 0.0002
Epoch [60/100], Loss: 0.0010
Epoch [70/100], Loss: 0.0044
Epoch [80/100], Loss: 0.0079
Epoch [90/100], Loss: 0.0005
Epoch [100/100], Loss: 0.0001
Window Size: 21, Training Step Size: 14
Epoch [10/100], Loss: 0.0009
Epoch [20/100], Loss: 0.0018
Epoch [30/100], Loss: 0.0249
Epoch [40/100], Loss: 0.0010
Epoch [50/100], Loss: 0.0006
Epoch [60/100], Loss: 0.0008
Epoch [70/100], Loss: 0.0044
Epoch [80/100], Loss: 0.0003
Epoch [90/100], Loss: 0.0004
Epoch [100/100], Loss: 0.0004
Window Size: 21, Training Step Size: 21
Epoch [10/100], Loss: 0.0006
Epoch [20/100], Loss: 0.0005
Epoch [30/100], Loss: 0.0010
Epoch [40/100], Loss: 0.0006
Epoch [50/100], Loss: 0.0004
Epoch [60/100], Loss: 0.0004
Epoch [70/100], Loss: 0.0007
Epoch [80/100], Loss: 0.0021
Epoch [90/100], Loss: 0.0006
Epoch [100/100], Loss: 0.0006
Window Size: 21, Training Step Size: 28
Epoch [10/100], Loss: 0.0004
Epoch [20/100], Loss: 0.0010
Epoch [30/100], Loss: 0.0017
Epoch [40/100], Loss: 0.0018
Epoch [50/100], Loss: 0.0011
Epoch [60/100], Loss: 0.0015
Epoch [70/100], Loss: 0.0010
Epoch [80/100], Loss: 0.0027
Epoch [90/100], Loss: 0.0006
Epoch [100/100], Loss: 0.0182
Window Size: 28, Training Step Size: 7
Epoch [10/100], Loss: 0.0035
Epoch [20/100], Loss: 0.0007
Epoch [30/100], Loss: 0.0138
Epoch [40/100], Loss: 0.0012
Epoch [50/100], Loss: 0.0016
Epoch [60/100], Loss: 0.0005
Epoch [70/100], Loss: 0.0002
Epoch [80/100], Loss: 0.0005
Epoch [90/100], Loss: 0.0048
Epoch [100/100], Loss: 0.0013
Window Size: 28, Training Step Size: 14
Epoch [10/100], Loss: 0.0004
Epoch [20/100], Loss: 0.0030
Epoch [30/100], Loss: 0.0004
Epoch [40/100], Loss: 0.0010
Epoch [50/100], Loss: 0.0063
Epoch [60/100], Loss: 0.0012
Epoch [70/100], Loss: 0.0033
Epoch [80/100], Loss: 0.0015
Epoch [90/100], Loss: 0.0007
Epoch [100/100], Loss: 0.0046
Window Size: 28, Training Step Size: 21
Epoch [10/100], Loss: 0.0009
Epoch [20/100], Loss: 0.0008
Epoch [30/100], Loss: 0.0010
Epoch [40/100], Loss: 0.0011
Epoch [50/100], Loss: 0.0017
Epoch [60/100], Loss: 0.0007
Epoch [70/100], Loss: 0.0020
Epoch [80/100], Loss: 0.0024
Epoch [90/100], Loss: 0.0018
Epoch [100/100], Loss: 0.0011
Window Size: 28, Training Step Size: 28
Epoch [10/100], Loss: 0.0007
Epoch [20/100], Loss: 0.0016
Epoch [30/100], Loss: 0.0008
Epoch [40/100], Loss: 0.0007
Epoch [50/100], Loss: 0.0056
Epoch [60/100], Loss: 0.0008
Epoch [70/100], Loss: 0.0004
Epoch [80/100], Loss: 0.0013
Epoch [90/100], Loss: 0.0033
Epoch [100/100], Loss: 0.0004
def evaluate_model_residues(model, test_loader, criterion):
model.eval()
all_predictions = []
all_targets = []
with torch.no_grad():
for X_batch, y_batch in test_loader:
X_batch, y_batch = X_batch.to(device), y_batch.to(device)
outputs = model(X_batch)
all_predictions.append(outputs)
all_targets.append(y_batch)
# Concatenación y verificación de dimensiones
all_predictions = torch.cat(all_predictions, dim=0).cpu().numpy().reshape(-1)
all_targets = torch.cat(all_targets, dim=0).cpu().numpy().reshape(-1)
# Imprimir las longitudes para ver si coinciden
print(f"Dimensiones de all_predictions: {all_predictions.shape}")
print(f"Dimensiones de all_targets: {all_targets.shape}")
# Verificar si las dimensiones coinciden antes de realizar operaciones
if all_targets.shape != all_predictions.shape:
raise ValueError(f"Dimensiones no coinciden: all_targets {all_targets.shape}, all_predictions {all_predictions.shape}")
# Calcular residuos
residues = all_targets - all_predictions
# Calcular métricas
mape = mean_absolute_percentage_error(all_targets, all_predictions)
rmse = np.sqrt(mean_squared_error(all_targets, all_predictions))
r2 = r2_score(all_targets, all_predictions)
r2_adj = 1 - (1 - r2) * (len(all_targets) - 1) / (len(all_targets) - window_size - 1)
results_df = pd.DataFrame({
'MAPE': [mape],
'RMSE': [rmse],
'R²': [r2],
'R² adj': [r2_adj]
})
return residues, results_df
import os
import torch
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
from sklearn.metrics import mean_absolute_percentage_error, mean_squared_error, r2_score
from torch.utils.data import DataLoader
# Identificación del mejor modelo
model_with_max_r2_adj = mlp_result_df.loc[mlp_result_df['R² adj'].idxmax(), 'Model']
print(f"Model with the largest R² adjusted: {model_with_max_r2_adj}")
# Cargar el mejor modelo
checkpoint = torch.load(os.path.join(shared_folder_path, model_with_max_r2_adj))
input_size = checkpoint['input_size']
hidden_size = checkpoint['hidden_size']
output_size = checkpoint['output_size']
num_layers = checkpoint['num_layers']
test_loader = checkpoint['test_loader']
# Definir el modelo y cargar los parámetros
rnn_model = RNNModel(input_size, hidden_size, output_size, num_layers)
rnn_model.load_state_dict(checkpoint['state_dict'])
rnn_model.to(device)
print("Model loaded successfully!")
# Evaluación del modelo
def evaluate_model_residues(model, test_loader, criterion):
model.eval()
all_predictions = []
all_targets = []
with torch.no_grad():
for X_batch, y_batch in test_loader:
X_batch, y_batch = X_batch.to(device), y_batch.to(device)
outputs = model(X_batch)
all_predictions.append(outputs)
all_targets.append(y_batch)
# Concatenar todas las predicciones y objetivos
all_predictions = torch.cat(all_predictions, dim=0).cpu().numpy().reshape(-1)
all_targets = torch.cat(all_targets, dim=0).cpu().numpy().reshape(-1)
# Asegurar que las longitudes coincidan
min_length = min(len(all_targets), len(all_predictions))
all_targets = all_targets[:min_length]
all_predictions = all_predictions[:min_length]
# Calcular residuos
residues = all_targets - all_predictions
# Calcular métricas
mape = mean_absolute_percentage_error(all_targets, all_predictions)
rmse = np.sqrt(mean_squared_error(all_targets, all_predictions))
r2 = r2_score(all_targets, all_predictions)
r2_adj = 1 - (1 - r2) * (len(all_targets) - 1) / (len(all_targets) - input_size - 1)
results_df = pd.DataFrame({
'MAPE': [mape],
'RMSE': [rmse],
'R²': [r2],
'R² adj': [r2_adj]
})
return residues, results_df
# Evaluación y visualización
residues, results_df = evaluate_model_residues(rnn_model, test_loader, criterion)
test_predictions, test_targets, test_metrics_df = evaluate_and_create_row(rnn_model, test_loader, criterion, scaler, window_size, "RNN")
# Visualización de las predicciones y los valores reales
plt.plot(test_predictions.reshape(-1), label='Test Predictions')
plt.plot(test_targets.reshape(-1), label='Test Targets')
plt.legend()
plt.show()
# Mostrar el DataFrame con las métricas de evaluación
print(test_metrics_df)
Model with the largest R² adjusted: rnn_model_7_7.pth
Model loaded successfully!
Model MAPE RMSE R² R² adj
0 RNN 50.479996 0.256539 -3.779658 -4.963998
import torch
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
import seaborn as sns
import statsmodels.api as sm
from sklearn.metrics import mean_absolute_percentage_error, mean_squared_error, r2_score
from scipy.stats import kurtosistest, skewtest, jarque_bera
from statsmodels.tsa.stattools import adfuller, kpss
def count_parameters(model):
return sum(p.numel() for p in model.parameters() if p.requires_grad)
def calculate_adjusted_r2(all_targets, all_predictions, model):
n = len(all_targets)
k = count_parameters(model) # Total number of trainable parameters
r2 = r2_score(all_targets, all_predictions)
r2_adj = 1 - (1 - r2) * (n - 1) / (n - k - 1)
print(f"R²: {r2:.4f}")
print(f"R² adjusted: {r2_adj:.4f}")
print(f"Number of trainable parameters: {k}")
print(f"Number of measures: {n}")
return r2_adj
def evaluate_model_residues(model, data_loader, criterion):
model.eval()
all_predictions = []
all_targets = []
with torch.no_grad():
for X_batch, y_batch in data_loader:
outputs = model(X_batch)
all_predictions.append(outputs)
all_targets.append(y_batch)
# Concatenate all predictions and targets
all_predictions = torch.cat(all_predictions, dim=0).cpu().numpy().reshape(-1)
all_targets = torch.cat(all_targets, dim=0).cpu().numpy().reshape(-1)
# Asegurarse de que las longitudes coincidan
min_length = min(len(all_targets), len(all_predictions))
all_targets = all_targets[:min_length]
all_predictions = all_predictions[:min_length]
residues = all_targets - all_predictions
# Calculate statistics
mape = mean_absolute_percentage_error(all_targets, all_predictions)
rmse = np.sqrt(mean_squared_error(all_targets, all_predictions))
r2 = r2_score(all_targets, all_predictions)
kurt_stat, kurt_p_value = kurtosistest(residues)
skew_stat, skew_p_value = skewtest(residues)
jb_stat, jb_p_value = jarque_bera(residues)
adf_stat, adf_p_value, _, _, _, _ = adfuller(residues)
kpss_stat, kpss_p_value, _, _ = kpss(residues)
results = {
'MAPE': mape,
'RMSE': rmse,
'R²': r2,
'Kurtosis (statistic)': kurt_stat,
'Kurtosis (p-value)': kurt_p_value,
'Skewness (statistic)': skew_stat,
'Skewness (p-value)': skew_p_value,
'Jarque-Bera (statistic)': jb_stat,
'Jarque-Bera (p-value)': jb_p_value,
'Dickey Fuller (statistic)': adf_stat,
'Dickey Fuller (p-value)': adf_p_value,
'KPSS test (statistic)': kpss_stat,
'KPSS test (p-value)': kpss_p_value
}
results_df = pd.DataFrame.from_dict(results, orient='index', columns=['Value'])
# Plotting the time series of residues
plt.figure(figsize=(10, 6))
plt.plot(residues)
plt.title('Time Series of Residues')
plt.xlabel('Time')
plt.ylabel('Residues')
plt.show()
# Plotting the histogram of residues
plt.figure(figsize=(10, 6))
sns.histplot(residues, kde=True)
plt.title('Histogram of Residues')
plt.xlabel('Residues')
plt.ylabel('Frequency')
plt.show()
# Q-Q plot of residues
plt.figure(figsize=(10, 6))
sm.qqplot(residues, line='s')
plt.title('Q-Q Plot of Residues')
plt.show()
# ACF plot of residues
plt.figure(figsize=(10, 6))
sm.graphics.tsa.plot_acf(residues, lags=40)
plt.title('Autocorrelation Function (ACF) of Residues')
plt.show()
return residues, results_df
# Uso de la función para evaluar el modelo RNN
residues, results_df = evaluate_model_residues(rnn_model, test_loader, criterion)
print(results_df)
# Calcular el R² ajustado
adjusted_r2 = calculate_adjusted_r2(test_targets, test_predictions, rnn_model)
<Figure size 1000x600 with 0 Axes>
<Figure size 1000x600 with 0 Axes>
Value
MAPE 0.504800
RMSE 0.256539
R² -3.779658
Kurtosis (statistic) 0.385919
Kurtosis (p-value) 0.699557
Skewness (statistic) 4.297837
Skewness (p-value) 0.000017
Jarque-Bera (statistic) 22.685614
Jarque-Bera (p-value) 0.000012
Dickey Fuller (statistic) -1.949028
Dickey Fuller (p-value) 0.309360
KPSS test (statistic) 1.084745
KPSS test (p-value) 0.010000
R²: -3.7797
R² adjusted: 12.2322
Number of trainable parameters: 201
Number of measures: 142
RNN At#
import torch
import torch.nn as nn
import os
import itertools
import pandas as pd
from torch.utils.data import DataLoader, TensorDataset
shared_folder_path = "C:\\Users\\Maestriadatos\\Documents\\lizcanollerenaparcial\\docs"
files = os.listdir(shared_folder_path)
print(files)
def evaluate_and_create_row(model, loader, criterion, scaler, window_size, model_name):
model.eval()
all_predictions = []
all_targets = []
with torch.no_grad():
for X_batch, y_batch in loader:
outputs = model(X_batch)
all_predictions.append(outputs.cpu().numpy())
all_targets.append(y_batch.cpu().numpy())
# Aplanar las listas de predicciones y etiquetas
all_predictions = np.concatenate(all_predictions, axis=0).reshape(-1)
all_targets = np.concatenate(all_targets, axis=0).reshape(-1)
# Aseguramos que ambas listas tengan el mismo tamaño
min_length = min(len(all_targets), len(all_predictions))
all_targets = all_targets[:min_length]
all_predictions = all_predictions[:min_length]
# Calculamos las métricas
n = len(all_targets)
p = window_size
mape, rmse, r2, r2_adj = calculate_metrics(all_targets, all_predictions, n, p)
metrics_df = pd.DataFrame({
'Model': [model_name],
'MAPE': [mape],
'RMSE': [rmse],
'R²': [r2],
'R² adj': [r2_adj]
})
return all_predictions, all_targets, metrics_df
# Definimos la clase de la RNN
class RNNModel(nn.Module):
def __init__(self, input_size, hidden_size, output_size, num_layers=1):
super(RNNModel, self).__init__()
self.hidden_size = hidden_size
self.num_layers = num_layers
self.rnn = nn.RNN(input_size, hidden_size, num_layers, batch_first=True)
self.fc = nn.Linear(hidden_size, output_size)
def forward(self, x):
h0 = torch.zeros(self.num_layers, x.size(0), self.hidden_size).to(x.device)
out, _ = self.rnn(x, h0)
out = self.fc(out[:, -1, :]) # Tomamos solo la última salida
return out
# Configuración y parámetros
window_sizes = [7, 14, 21, 28]
training_step_sizes = [7, 14, 21, 28]
validation_steps = 14
test_steps = 14
columns = ['Model', 'MAPE', 'RMSE', 'R²', 'R² adj']
rnn_result_df = pd.DataFrame(columns=columns)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
print(f'Device: {device}')
for window_size, train_steps in itertools.product(window_sizes, training_step_sizes):
print(f'Window Size: {window_size}, Training Step Size: {train_steps}')
model_name = f'rnn_modelAt_{window_size}_{train_steps}.pth'
if os.path.exists(os.path.join(shared_folder_path, model_name)):
checkpoint = torch.load(os.path.join(shared_folder_path, model_name))
valid_metrics_df = checkpoint['valid_metrics_df']
rnn_result_df = pd.concat([rnn_result_df, valid_metrics_df], ignore_index=True)
continue
# Preparamos las ventanas de datos
Xtrains, ytrains, Xvalids, yvalids, Xtests, ytests = create_windows(btc_At_tensor, window_size, train_steps, validation_steps, test_steps)
Xtrains = torch.tensor(Xtrains, dtype=torch.float32).view(-1, train_steps, window_size).to(device)
ytrains = torch.tensor(ytrains, dtype=torch.float32).view(-1, train_steps, 1).to(device)
Xvalids = torch.tensor(Xvalids, dtype=torch.float32).view(-1, validation_steps, window_size).to(device)
yvalids = torch.tensor(yvalids, dtype=torch.float32).view(-1, validation_steps, 1).to(device)
Xtests = torch.tensor(Xtests, dtype=torch.float32).view(-1, test_steps, window_size).to(device)
ytests = torch.tensor(ytests, dtype=torch.float32).view(-1, test_steps, 1).to(device)
# Configuración del DataLoader
batch_size = 1
train_loader = DataLoader(TensorDataset(Xtrains, ytrains), batch_size=batch_size, shuffle=True)
valid_loader = DataLoader(TensorDataset(Xvalids, yvalids), batch_size=batch_size, shuffle=False)
test_loader = DataLoader(TensorDataset(Xtests, ytests), batch_size=batch_size, shuffle=False)
# Parámetros de la RNN
input_size = window_size
hidden_size = 10
output_size = 1
num_layers = 1
# Definimos el modelo
model = RNNModel(input_size, hidden_size, output_size, num_layers).to(device)
criterion = nn.MSELoss()
optimizer = torch.optim.Adam(model.parameters(), lr=0.01)
# Entrenamiento de la RNN
num_epochs = 50
for epoch in range(num_epochs):
model.train()
epoch_loss = 0
for X_batch, y_batch in train_loader:
optimizer.zero_grad()
outputs = model(X_batch)
loss = criterion(outputs, y_batch)
loss.backward()
optimizer.step()
epoch_loss += loss.item()
if (epoch + 1) % 10 == 0:
avg_loss = epoch_loss / len(train_loader)
print(f'Epoch [{epoch + 1}/{num_epochs}], Loss: {avg_loss:.4f}')
# Guardado del modelo
_, _, valid_metrics_df = evaluate_and_create_row(model, valid_loader, criterion, scaler, window_size, model_name)
rnn_result_df = pd.concat([rnn_result_df, valid_metrics_df], ignore_index=True)
torch.save({
'input_size': input_size,
'hidden_size': hidden_size,
'output_size': output_size,
'num_layers': num_layers,
'test_loader': test_loader,
'valid_metrics_df': valid_metrics_df,
'state_dict': model.state_dict()
}, os.path.join(shared_folder_path, model_name))
['bitcoinhistoricaldata.csv', 'intro.md', 'logo.png', 'lstm_modelAt_14_14.pth', 'lstm_modelAt_14_21.pth', 'lstm_modelAt_14_28.pth', 'lstm_modelAt_14_7.pth', 'lstm_modelAt_21_14.pth', 'lstm_modelAt_21_21.pth', 'lstm_modelAt_21_28.pth', 'lstm_modelAt_21_7.pth', 'lstm_modelAt_28_14.pth', 'lstm_modelAt_28_21.pth', 'lstm_modelAt_28_28.pth', 'lstm_modelAt_28_7.pth', 'lstm_modelAt_7_14.pth', 'lstm_modelAt_7_21.pth', 'lstm_modelAt_7_28.pth', 'lstm_modelAt_7_7.pth', 'lstm_modelVol7_14_14.pth', 'lstm_modelVol7_14_21.pth', 'lstm_modelVol7_14_28.pth', 'lstm_modelVol7_14_7.pth', 'lstm_modelVol7_21_14.pth', 'lstm_modelVol7_21_21.pth', 'lstm_modelVol7_21_28.pth', 'lstm_modelVol7_21_7.pth', 'lstm_modelVol7_28_14.pth', 'lstm_modelVol7_28_21.pth', 'lstm_modelVol7_28_28.pth', 'lstm_modelVol7_28_7.pth', 'lstm_modelVol7_7_14.pth', 'lstm_modelVol7_7_21.pth', 'lstm_modelVol7_7_28.pth', 'lstm_modelVol7_7_7.pth', 'lstm_model_14_14.pth', 'lstm_model_14_21.pth', 'lstm_model_14_28.pth', 'lstm_model_14_7.pth', 'lstm_model_21_14.pth', 'lstm_model_21_21.pth', 'lstm_model_21_28.pth', 'lstm_model_21_7.pth', 'lstm_model_28_14.pth', 'lstm_model_28_21.pth', 'lstm_model_28_28.pth', 'lstm_model_28_7.pth', 'lstm_model_7_14.pth', 'lstm_model_7_21.pth', 'lstm_model_7_28.pth', 'lstm_model_7_7.pth', 'markdown-notebooks.md', 'markdown.md', 'mlp_model_14_14.pth', 'mlp_model_14_21.pth', 'mlp_model_14_28.pth', 'mlp_model_14_7.pth', 'mlp_model_21_14.pth', 'mlp_model_21_21.pth', 'mlp_model_21_28.pth', 'mlp_model_21_7.pth', 'mlp_model_28_14.pth', 'mlp_model_28_21.pth', 'mlp_model_28_28.pth', 'mlp_model_28_7.pth', 'mlp_model_7_14.pth', 'mlp_model_7_21.pth', 'mlp_model_7_28.pth', 'mlp_model_7_7.pth', 'notebooks.ipynb', 'references.bib', 'requirements.txt', 'rnn_model_14_14.pth', 'rnn_model_14_21.pth', 'rnn_model_14_28.pth', 'rnn_model_14_7.pth', 'rnn_model_21_14.pth', 'rnn_model_21_21.pth', 'rnn_model_21_28.pth', 'rnn_model_21_7.pth', 'rnn_model_28_14.pth', 'rnn_model_28_21.pth', 'rnn_model_28_28.pth', 'rnn_model_28_7.pth', 'rnn_model_7_14.pth', 'rnn_model_7_21.pth', 'rnn_model_7_28.pth', 'rnn_model_7_7.pth', '_config.yml', '_toc.yml']
Device: cpu
Window Size: 7, Training Step Size: 7
Epoch [10/50], Loss: 0.0003
Epoch [20/50], Loss: 0.0002
Epoch [30/50], Loss: 0.0003
Epoch [40/50], Loss: 0.0003
Epoch [50/50], Loss: 0.0006
Window Size: 7, Training Step Size: 14
Epoch [10/50], Loss: 0.0006
Epoch [20/50], Loss: 0.0005
Epoch [30/50], Loss: 0.0005
Epoch [40/50], Loss: 0.0005
Epoch [50/50], Loss: 0.0005
Window Size: 7, Training Step Size: 21
Epoch [10/50], Loss: 0.0009
Epoch [20/50], Loss: 0.0006
Epoch [30/50], Loss: 0.0006
Epoch [40/50], Loss: 0.0005
Epoch [50/50], Loss: 0.0008
Window Size: 7, Training Step Size: 28
Epoch [10/50], Loss: 0.0019
Epoch [20/50], Loss: 0.0023
Epoch [30/50], Loss: 0.0022
Epoch [40/50], Loss: 0.0015
Epoch [50/50], Loss: 0.0017
Window Size: 14, Training Step Size: 7
Epoch [10/50], Loss: 0.0005
Epoch [20/50], Loss: 0.0003
Epoch [30/50], Loss: 0.0009
Epoch [40/50], Loss: 0.0006
Epoch [50/50], Loss: 0.0004
Window Size: 14, Training Step Size: 14
Epoch [10/50], Loss: 0.0007
Epoch [20/50], Loss: 0.0004
Epoch [30/50], Loss: 0.0005
Epoch [40/50], Loss: 0.0091
Epoch [50/50], Loss: 0.0004
Window Size: 14, Training Step Size: 21
Epoch [10/50], Loss: 0.0018
Epoch [20/50], Loss: 0.0006
Epoch [30/50], Loss: 0.0005
Epoch [40/50], Loss: 0.0042
Epoch [50/50], Loss: 0.0008
Window Size: 14, Training Step Size: 28
Epoch [10/50], Loss: 0.0013
Epoch [20/50], Loss: 0.0020
Epoch [30/50], Loss: 0.0012
Epoch [40/50], Loss: 0.0011
Epoch [50/50], Loss: 0.0014
Window Size: 21, Training Step Size: 7
Epoch [10/50], Loss: 0.0006
Epoch [20/50], Loss: 0.0002
Epoch [30/50], Loss: 0.0003
Epoch [40/50], Loss: 0.0003
Epoch [50/50], Loss: 0.0003
Window Size: 21, Training Step Size: 14
Epoch [10/50], Loss: 0.0005
Epoch [20/50], Loss: 0.0006
Epoch [30/50], Loss: 0.0005
Epoch [40/50], Loss: 0.0017
Epoch [50/50], Loss: 0.0004
Window Size: 21, Training Step Size: 21
Epoch [10/50], Loss: 0.0007
Epoch [20/50], Loss: 0.0007
Epoch [30/50], Loss: 0.0012
Epoch [40/50], Loss: 0.0012
Epoch [50/50], Loss: 0.0006
Window Size: 21, Training Step Size: 28
Epoch [10/50], Loss: 0.0010
Epoch [20/50], Loss: 0.0009
Epoch [30/50], Loss: 0.0009
Epoch [40/50], Loss: 0.0008
Epoch [50/50], Loss: 0.0009
Window Size: 28, Training Step Size: 7
Epoch [10/50], Loss: 0.0004
Epoch [20/50], Loss: 0.0003
Epoch [30/50], Loss: 0.0003
Epoch [40/50], Loss: 0.0029
Epoch [50/50], Loss: 0.0002
Window Size: 28, Training Step Size: 14
Epoch [10/50], Loss: 0.0008
Epoch [20/50], Loss: 0.0004
Epoch [30/50], Loss: 0.0074
Epoch [40/50], Loss: 0.0008
Epoch [50/50], Loss: 0.0003
Window Size: 28, Training Step Size: 21
Epoch [10/50], Loss: 0.0008
Epoch [20/50], Loss: 0.0007
Epoch [30/50], Loss: 0.0035
Epoch [40/50], Loss: 0.0009
Epoch [50/50], Loss: 0.0035
Window Size: 28, Training Step Size: 28
Epoch [10/50], Loss: 0.0006
Epoch [20/50], Loss: 0.0006
Epoch [30/50], Loss: 0.0006
Epoch [40/50], Loss: 0.0008
Epoch [50/50], Loss: 0.0015
def evaluate_model_residues(model, test_loader, criterion):
model.eval()
all_predictions = []
all_targets = []
with torch.no_grad():
for X_batch, y_batch in test_loader:
X_batch, y_batch = X_batch.to(device), y_batch.to(device)
outputs = model(X_batch)
all_predictions.append(outputs)
all_targets.append(y_batch)
# Concatenación y verificación de dimensiones
all_predictions = torch.cat(all_predictions, dim=0).cpu().numpy().reshape(-1)
all_targets = torch.cat(all_targets, dim=0).cpu().numpy().reshape(-1)
# Imprimir las longitudes para ver si coinciden
print(f"Dimensiones de all_predictions: {all_predictions.shape}")
print(f"Dimensiones de all_targets: {all_targets.shape}")
# Verificar si las dimensiones coinciden antes de realizar operaciones
if all_targets.shape != all_predictions.shape:
raise ValueError(f"Dimensiones no coinciden: all_targets {all_targets.shape}, all_predictions {all_predictions.shape}")
# Calcular residuos
residues = all_targets - all_predictions
# Calcular métricas
mape = mean_absolute_percentage_error(all_targets, all_predictions)
rmse = np.sqrt(mean_squared_error(all_targets, all_predictions))
r2 = r2_score(all_targets, all_predictions)
r2_adj = 1 - (1 - r2) * (len(all_targets) - 1) / (len(all_targets) - window_size - 1)
results_df = pd.DataFrame({
'MAPE': [mape],
'RMSE': [rmse],
'R²': [r2],
'R² adj': [r2_adj]
})
return residues, results_df
import os
import torch
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
from sklearn.metrics import mean_absolute_percentage_error, mean_squared_error, r2_score
from torch.utils.data import DataLoader
mlp_result_df_filtered = mlp_result_df.dropna(subset=['R² adj'])
if mlp_result_df_filtered.empty:
raise ValueError("No hay modelos con valores válidos de 'R² adj'.")
else:
model_with_max_r2_adj = mlp_result_df_filtered.loc[mlp_result_df_filtered['R² adj'].idxmax(), 'Model']
print(f"Model with the largest R² adjusted: {model_with_max_r2_adj}")
# Cargar el mejor modelo
checkpoint = torch.load(os.path.join(shared_folder_path, model_with_max_r2_adj))
input_size = checkpoint['input_size']
hidden_size = checkpoint['hidden_size']
output_size = checkpoint['output_size']
num_layers = checkpoint['num_layers']
test_loader = checkpoint['test_loader']
# Definir el modelo y cargar los parámetros
rnn_model = RNNModel(input_size, hidden_size, output_size, num_layers)
rnn_model.load_state_dict(checkpoint['state_dict'])
rnn_model.to(device)
print("Model loaded successfully!")
# Evaluación del modelo
def evaluate_model_residues(model, test_loader, criterion):
model.eval()
all_predictions = []
all_targets = []
with torch.no_grad():
for X_batch, y_batch in test_loader:
X_batch, y_batch = X_batch.to(device), y_batch.to(device)
outputs = model(X_batch)
all_predictions.append(outputs)
all_targets.append(y_batch)
# Concatenar todas las predicciones y objetivos
all_predictions = torch.cat(all_predictions, dim=0).cpu().numpy().reshape(-1)
all_targets = torch.cat(all_targets, dim=0).cpu().numpy().reshape(-1)
# Asegurar que las longitudes coincidan
min_length = min(len(all_targets), len(all_predictions))
all_targets = all_targets[:min_length]
all_predictions = all_predictions[:min_length]
# Calcular residuos
residues = all_targets - all_predictions
# Calcular métricas
mape = mean_absolute_percentage_error(all_targets, all_predictions)
rmse = np.sqrt(mean_squared_error(all_targets, all_predictions))
r2 = r2_score(all_targets, all_predictions)
r2_adj = 1 - (1 - r2) * (len(all_targets) - 1) / (len(all_targets) - input_size - 1)
results_df = pd.DataFrame({
'MAPE': [mape],
'RMSE': [rmse],
'R²': [r2],
'R² adj': [r2_adj]
})
return residues, results_df
# Evaluación y visualización
residues, results_df = evaluate_model_residues(rnn_model, test_loader, criterion)
test_predictions, test_targets, test_metrics_df = evaluate_and_create_row(rnn_model, test_loader, criterion, scaler, window_size, "RNN")
# Visualización de las predicciones y los valores reales
plt.plot(test_predictions.reshape(-1), label='Test Predictions')
plt.plot(test_targets.reshape(-1), label='Test Targets')
plt.legend()
plt.show()
# Mostrar el DataFrame con las métricas de evaluación
print(test_metrics_df)
---------------------------------------------------------------------------
ValueError Traceback (most recent call last)
Cell In[109], line 52
50 mlp_result_df_filtered = mlp_result_df.dropna(subset=['R² adj'])
51 if mlp_result_df_filtered.empty:
---> 52 raise ValueError("No hay modelos con valores válidos de 'R² adj'.")
53 else:
54 model_with_max_r2_adj = mlp_result_df_filtered.loc[mlp_result_df_filtered['R² adj'].idxmax(), 'Model']
ValueError: No hay modelos con valores válidos de 'R² adj'.